The hitch in that plan is that only one company can have their P/E ratio justified by being Buy-n-Large 100 years from now.
So many people's first instinct to respond by buying more shares of that company, thereby driving its price and market cap higher. That's a reaction that implies that we think that the general trend is toward Buy-n-Large. If we expected regression to the mean to be the driving phenomenon, then we'd be more likely to respond by selling.
(Disclaimer: I'm not suggesting that's actually how things work, just that a lot of us behave as if we think that's how it works, or should work.)