not a fair comparison.
you should grant Alekhine, Capablanca, Fischer etc. time to "catch up" with all the advances in theory. Then put your idea to test and see what happens. I imagine you want all players in their primes.
In a way that already did happen with Fischer. He left the chess world following his 1972 world championship match with Spassky for 20 years. When he was enticed to come back to a 1992 match with Spassky, he requested a computer with chess software to check out what he missed. Then when he came back in 1992, because of his age and lack of tournament competition, did experience fatigue and lack of concentration some games, but produced some gems, ie; game 1.
You are naive saying 2700+ players of today would "easily" beat the former giants of the game. The giants of the past could play less critical lines for White and not be blown out of the water, ie; King's Indian Reversed.
A book I read in my youth said " in any age, in any place, Franklin would have been great " is a testament to the innovative mind of Benjamin Franklin had he lived in different time periods. So I believe it is with our past Chess Champions.
Since chess is an evolving game, the ideas of 19th century would be easily thrashed today...similarly innovative ideas from the 20th century would no longer work against the 2700s who would know them all...
Can't these 2700+ players, some 50 of them, be considered as those who know the most about chess, more than anyone who has attempted it in history? I mean at the current levels of knowledge, they should easily beat alekhine, capablanca, botvinnik, Petrosian or Fischer, at the levels of knowledge for those past champions...
Can't argue about karpov or kasparov since they currently keep themselves updated...but again, any 2700+ should have a good enough chance against them most of the times...am talking at their respective levels of knowledge and playing form..
On the same lines, what about 2600s for that matter? There are only about 200 of them on earth as well...