Uhh, yeah. That's pretty obvious.
But you can practice ALL of that beforehand and then execute during blitz games, further reinforcing it.
You're sadly very mistaken if you are under the assumption that I don't think during blitz, even at the 3 minute time control. Sure, I don't analyze as deeply as I do during a long game, but it's at least 90% of the same analysis - and sometimes, it's even better because the error rate in calculation goes up a lot the deeper you go.
Your concept that playing (and analyzing) blitz games doesn't improve your rating is simply false. You can learn a LOT from blitz - provided you put the effort into analyzing your games and not repeating your mistakes.
What you describe is closer to bullet chess, where most of the game is so fast that you pretty much have to instamove. But at 3 min, and definitely 5 min, you can get a pretty good strategic look at the position if you're a halfway decent blitz player. Pattern recognition is only a (small) part of it - if I made every move that came up instinctively in blitz, I can barely beat 1250-rated players. (That's better than last year, when that number was 1150s!)
The main reason strong chessplayers favor play and study toward long time controls is simple - it's because that's what UCSF rated games and the world championship cycle games are. It's not because they love long games so much more than blitz. In fact, it's definitely the opposite - those same GMs who play all those long games play a LOT more blitz than long games.
The most common reason people keep dogmatically saying blitz doesn't improve you, is because they're looking for an excuse to explain away their low blitz ratings. I used to be one of these folks myself, but now that I actually can play blitz to some degree, I know I was clearly wrong and missed out on a lot of learning opportunities by avoiding blitz.
What about it jengaias? Does blitz help you improve, if accompanied by analysis? Why can't I do a corresponding squares blocked pawn ending in the last 15 seconds of a bullet game and still expect to reap the benefits in the postmortem?
I'd like to have an argument please.