Guitar Hero / Rock Band - What Works With What

[Objectivity]

Ok, I've done some research online and I'm trying to determine what peripherals work with what games. I know this is all listed in other places, but it's usually on page 46 of a 72 page thread and then people contradict it. Here's my effort to get the information in one clear, concise post (which I will update if I make any mistakes

All games mentioned are for the PS3 unless otherwise noted.
1) The Rock Band Guitar works only with Rock Band.
2) The Guitar Hero 3 guitar only works with Rock Band.
3) Neither the Guitar Hero 3 or Rock Band Guitar is backward compatible with Guitar Hero 1 or 2 (for the PS2).
4) Some adapters will let you use a Guitar Hero 2 guitar (for the PS2) on a PS3 but none of them are perfect. You can not use a Guitar Hero 2 guitar to play Guitar Hero 3, even with an adapter.

So did I get all that right and does that help anyone?