[Mark]

I agree with Brock. It's possible that the player with no name used the bat, but it seems that there's nothing that we know that makes it probable. It's still a pro model bat of player X, and that's not a bad thing---but it's not something that would earn a 9 or a 10 from PSA/DNA. You couldn't honestly say "this is a bat that X used." As for your first and third questions, I believe that this is their standard language. I think that language will appear on their letters/ photos even if they go on to say that the bat has unique player characteristics or that there is a photo match showing that the bat was used in a pro game.