I was one of those guys who didn't get Braid's story- or rather, I got bits and pieces of it, but had to eventually dig up a story faq to understand the whole concept. As you portray very clearly here, though, Braid had a brilliance beyond the story and the nature of that story wouldn't have worked if it weren't done so secretively and in such a subtle manner.
I did get frustrated at Braid when it came to the star puzzles. I still haven't solved them all and I never will. Why? Because I looked at the faq and some of them are just plain stupid. Like the one where you have to let your game sit still for something like four hours until an incredibly slow moving cloud correctly positions itself on the screen as a lift. No, Braid, I won't be doing that. That's stupid. I like the idea behind such a puzzle, the game is asking you to literally not discount ANY possibility as a solution to the problem, but once you figure out what that solution is, there is nothing fun about waiting four hours before you can enact it.
One minor complaint, Joe, and easily fixed I hope... the screenshots are waaaay fuzzy. Get some other ones?
Note to gamers: when someone shoots you in the face, they aren't "gay." They are "psychopathic."