Justice Bobde, 63, also rued the criticism of judges on social media for their judicial actions and said most of the judges, who are not "thick skinned", get perturbed.
A key argument against the Aadhaar scheme was that it was violative of the nine-judge bench verdict that had held that Right to Privacy is a fundamental right under the Constitution.
It is the custom in the top court that a retiring judge, on his last day, is given the honour of sitting with the CJI in the majestic Court no 1.
Justice J Chelameswar, a senior judge of the SC and a member of the five-member collegium, has written to the CJI seeking transparency in the appointment of higher judiciary judges.
Justice S A Bobde will not be available on January 29.
A bench of justices A K Sikri and Ashok Bhushan in their separate but concurring verdicts noted that being the senior-most judge, the CJI is empowered to exercise 'leadership" on the court and in this role, he is expected to be the "spokesperson and representative" of the judiciary in its dealings with the executive, the government and the community.
'Even the ruling party -- if it really respects the independence of the judiciary and democracy -- should support this impeachment motion.'
Justice Gogoi, the 46th CJI and the first from a north-eastern state, said it was not the requirement of the Supreme Court that judges 'reach out to our citizenry through the press'.
The rejection of the notice comes a day after Naidu held the consultations with such experts to determine the maintainability of the motion.
The government had declined to appoint Justice Joseph's to the top court and asked it to reconsider his name.
Justice Chelameswar said the reasons were too obvious and he would not like to deal with the matter.
Chief Justice of India J S Khehar on Saturday criticised the electoral politics in the country, saying poll promises are "routinely unfulfilled", caste issues projected differently to get a majority and party manifestos do not have any linkage to socio-economic justice.
The Supreme Court is all set to live-stream its Constitution bench proceedings from Tuesday, and the hearing of pleas challenging reservations for the economically weaker sections and the row over control of services between the Centre and the Delhi government will be the first regular webcast.
The Hyderabad incident had sparked demands of swift punishment to rape convicts. The news of the 'encounter' killing led to celebrations in some quarters and concern in others.
The judgment stated that there cannot be "any distrust about the responsibilities" the Chief Justice discharges.
A roster of the work for fresh cases notified under the order of the chief justice of India will come into effect from February 5 till further orders.
Rajya Sabha Chairman Venkaiah Naidu had on April 23 rejected the impeachment notice against the CJI given by seven opposition parties led by the Congress on five grounds of "misbehaviour".
There is ambiguity as some top leaders are not comfortable about moving the motion.
Speculation over Justice Gogoi's appointment as the next CJI arose after the court's four most senior judges, including Justice Gogoi, called a press conference in January and criticised Justice Misra on various issues.
Apart from high-profile cases like the validity of Aadhaar Act in light of the right to privacy judgment and Ayodhya land dispute, the CJI is also heading various benches that are expected to decide cases related reservations to Scheduled Castes and Scheduled Tribes in promotion in government jobs, the alleged dilution of Section 498A of the Indian Penal Code -- which stipulates punishment against harassment of women by husband and in-laws -- and framing of guidelines to check violence and vandalism by a protesting mob.
During the hearing in CJI's court No 1, an unfazed Justice Gogoi said the allegations are unbelievable.
'No judge can take up a matter on its own unless allocated by the CJI as the CJI is master of the court,' the top court said.
The inquiry by will not deal with the allegations of sexual harassment against the CJI.
It is significant that the matter has not been listed before the judges who are number two to five in the seniority.
64 Rajya Sabha MPs have signed the notice for impeachment proceedings against Chief Justice of India Deepak Misra under "five grounds of misbehaviour".
Justice Ranjan Gogoi, who will demit office as the Chief Justice of India in a week's time, has etched his name in the annals of history by giving finality to one of the most politically and religiously sensitive cases, the Ayodhya land dispute, which dates back to even before the Supreme Court came into existence in 1950.
The issue had cropped up when a three-judge bench headed by Chief Justice Dipak Misra was hearing the batch of appeals filed against the Allahabad high court's 2010 verdict by which the disputed land on the Ram Janmabhoomi-Babri Masjid area was divided in three parts.
A row erupted after the Chief Justice of India Ranjan Gogoi-headed five-judge Collegium in a fresh resolution on January 10 recommended the elevation of Justice Dinesh Maheshwari and Justice Sanjiv Khanna to the Supreme Court bypassing the seniority of several judges.
The CJI said that absence of timely legal help to poor affects credibility.
As the impasse over the crisis after the virtual revolt by the four judges against Chief Justice of India Dipak Misra last Friday continued, sources said Justice Chelameswar had a brief meeting with another dissenting judge Justice Ranjan Gogoi at his residence.
The CBI has alleged that Justice Shukla received illegal gratification from Justice (Retd) Quddusi and B P Yadav, chairman of Prasad Education Trust which runs a medical college in Lucknow, for getting a favourable order to prevent delisting from counselling sessions for admitting students in 2017.
Attorney General K K Venugopal on Tuesday said the crisis in the Supreme Court seems to be unresolved and hoped it will be "fully settled" in a couple of days, remarks that come a day after he stated that everything was settled in the higher judiciary.
The SC prima facie observed the task cannot be entrusted to the members of the collegium.
The government's decision of not approving Joseph's name has evoked sharp reactions.
The SC judge, who retired on Friday, also disapproved the Centre's decision not to elevate Justice K M Joseph to the Supreme Court, terming the action as "not sustainable".
Attorney General Mukul Rohatgi mentioned the appeal before a bench comprising Justices Dipak Misra and Shiva Kirti Singh, which asked him to approach the Registry for listing it for hearing on Friday itself.
The government had on April 26 declined to accept the recommendation of the collegium and asked it to reconsider his name.
The Supreme Court on Monday said it would hear a batch of petitions challenging mandatory linking of Aadhaar for granting various services to citizen after its constitution bench concludes hearing the Delhi-Centre dispute.
Criticising the decision, the party also said it was a fight between forces 'rejecting democracy' and voices 'rescuing democracy'.
Justice J Chelameswar, who courted controversy by virtually revolting against Chief Justice of India Dipak Misra, also said that impeachment cannot be an answer to every problem and there was need to correct the system.