when would you consider Petrosian to be in his prime ? Fischer was for choice in the early 70s
In 1970 Fischer came out of retirement to play Board 2 ( behind the Danish GM Bent Larsen ) to represent the "Rest of the World" versus the Soviet Union. He was paired with Petrosian. Here are the results.
https://www.chessgames.com/perl/chess.pl?tid=79449
the 2 played in 1971 a 12 game match. The winner faced Spassky for the World Title in a 24 game match.
https://www.chessgames.com/perl/chess.pl?tid=79446
Finally getting into the chapter of Kasparov's My Great Predecessors which deals with Tigran Petrosian, and it's clear from the beginning that Tigran was effectively a "super-Nimzowitsch". All of the lessons which you find in Nimziwitsch's My System are brought to a higher form of art through Petrosian's play. Blockade, open files, passed pawns, prophylaxis, overprotection, and purely positional sacrifices, all of these are hallmarks of Petrosian's style, which had no precedent other than Nimzowitsch.
Petrosian's judgment of piece quality enabled him to tell immediately when a minor piece was worth a rook, and specifically when the bishop pair wasn't worth allowing an opposing knight to remain on the board. In this context, his famous exchange sacrifices aren't really sacrifices at all, but a well-calculated tactic to achieve more tranquil play. As Petrosian himself noted, rooks without open files can't do very much to affect the game's outcome, but a well-posted bishop or knight (especially the latter) can dominate a position.
It is truly a shame the world never got to see him play Fischer for the World Championship. That was the match which would have defined that era of Chess, which we didn't get to see because of all the political nonsense. Of all the Soviet GMs of the Botvinnik era, Petrosian, at his peak, was the best by a considerable margin. He alone might have been able to handle Fischer, and it's an eternal shame the world never saw them go head-to-head. Their styles were so radically different (indeed, this was the last time you saw wildly divergent styles share the top rank of the chess world), it would have been something special to see if Fischer's trademark aggression could have broken Tigran's iron defense.