Yep.
Yep.
I routinely play with 10 GHz GBW parts. It's been a while since I stubbed my toe on a 7-MHz one.
Not in the data sheet I linked to, they don't.
If a data sheet from Linear Technology tells me that a part can be used as a unity-gain buffer, I'm inclined to believe it. I agree with the subtext behind Win's comment, in that ignorance of fundamentals is no excuse, but I don't agree that this is a "fundamental" topic. I believe that 99 out of 100 working EEs would have made the same ass-umption, so there needs to be an explicit warning in the data sheet.
-- john, KE5FX