Yep, look at the transition to PS2 from PS1. A winning strategy that paid off twice. It was abandoned for the PS3 and, for the most part, picked back up for the PS4. Had they not made any mistakes before, I could see your point, but outside of pure speculation, there's no reason to assume they'd make all of those mistakes (or even similar ones) again, or that Microsoft won't attempt another move that will further turn off gamers, for that matter.
I think it's important to remember that, mistakes/advantages/etc aside, as far as worldwide sales goes, Every playstation home console has come out above every microsoft console.
PS2 outsold xbox, PS3 outsold xbox 360 (consistently enough to bridge the 1 year headstart), just as PS4 has and will continue to outsell the Xbox One.
If Microsoft can't, with their best hand (xbox 360), beat Sony with their worst hand (PS3), the chances of them beating them with the roles reversed are slim to none.
It's true the Xbox 360 gained a lot of marketshare and quite a few people switched to it as their primary console, but as much as people might not want to admit it, console loyalty is very much a minotiry group, the average gamer has no problems at all with switching to another platform, and hindsight has shown that PlayStation offers them the broadest range of games in a consoles lifespan of the three, while Nintendo is the best, and only place, to play Nintendo's own signature style of games.
Aside from the fans of a handful of franchises, it comes down to price and performance in multiplatform games, and for many that, combined with the initial nightmare reveal has more or less sealed the xbox ones fate.