That's exactly what I think is the reason they didn't release that 19-minute video. Her shoes and outfits were attributed to Gaga by many, and of course even Francis Lawrence, the director, was said to be stolen from erm, Gaga. (She collaborated way earlier than Gaga during DC, so what the hell?) Apparently they did avoid any more references to Gaga, hence the other edits. Also, somebody told me there's a Nicki Minaj version of the song/video, I don't know if that's real or not.
The song was remixed with Nicki Minaj. It's on YouTube