Latest word: It might be a fake. Watch it again and check out the logo on the catcher in both the beginning and after the catch. It changes from the right side of the vest to the left, and it appears he goes from being a right-handed to left handed catcher.
I'd rather it be real, but I think this one needs a little investigative digging.
Freeze frame it and look again at the catcher. He is not wearing the glove, he is holding it in his right hand. The logo is not visible.
The logo is visible both before and after the hit. It's white and it's at the top of his chest protector. Looks kinda like an X. Maybe a Mizuno logo.
The catcher seems to have both his mitt an a glove he where's underneath it. His throwing hand is bare, and before/after the hit that ungloved hand goes from right to left.
On the frames of the catcher after the catch, you can also see a base runner running hard from, seemingly, second to first. There's no need for that unless the player caught the foul ball. If the footage was reversed, that would instead be a runner running going for third.
Critical youtube readers suggest the catcher was actually looking toward right field at that time and the mirroring was needed to make him look to left field.