Diogenesister: do you think he would attempt to have it removed if there were no commentary around it?
I think he will take every action he can against anything that is uploaded. Most of what he tries will be useless aside from whatever value it has as bullying tactics. A copyright claim might work, though remember that copyright is meant to protect a work from being monetized by others or preventing the copyright owner from monetizing the work. So it's possible that he would not have a sufficient claim to get it taken down. But many websites will do so anyway, out of an overabundance of caution.
And besides, the full video is a bit of a slog. Any of the commentary videos already out there have the salient points covered, and links to them would be more useful for information purposes. But I'd ask first, since linking them could make them targets of renewed harassment by Evans's more rabid followers.