I am not a lawyer, but if someone used LaBeouf's video to sell shoes, I imagine they would in fact be liable to Nike.
In this case the trademark statement covers "Electronic transmission and streaming of video games via global and local computer networks; streaming of audio, visual, and audiovisual material via global and local computer networks", which does sound like it could cover Let's Play videos as we know them. That would depend of course on how exactly Sony uses the mark.
"You must have an IQ of at least half a million." -- Popeye