I think they are going to the wrong way. I don't think trademark could stop distributing suspicious files. One simple test is to search in Google one windows system file (or driver file). I find that many sites distribute them. Considering that Microsoft licenses (copyright and trademark) are very very strict, I don't think that changing licenses will improve the situation of VLC.
But OTOH VLC seems to lack good communication channels. For this reason the first page of a "VLC" search in google shows many uninteresting links.
VLC should improve communication and links to VLC and relevant sister pages.
[And also LWN should contribute, linking to VLC homepage (and download page) when speaking to VLC and wrong downloads]