Semantics. It obviously takes time to build independence, but you can do it. It is in your power. Nobody really has to tolerate micromanagement unless they're just starting out
If I were to get fired for "not responding fast enough" or something like that, then I wouldn't want to work at that place anyway. I'm a programmer and I get paid to program, so that's what I do. It's worked out pretty well so far :)
Life is not grade school. You don't get points for just showing up. You actually have to do meaningful work that produces a valuable result for someone. People will happily tolerate the slightly disheveled dude who shows up with the critical component of their gold mine. They fire the smug well-spoken guy who keeps making excuses.