There’s no way they would remove the logo and fanfare from an OUT release. They would present the movie as close as possible to how it was (at least to the layman if not nitpickers like us), and the iconic fanfare’s absence would be quite a glaring omission.
Would they even have the rights to do so?
I don’t see why Fox would stop them from doing so. It only benefits them if anything. Besides, they’ll likely have to make some kind of deal before an OUT release is possible anyway, and they definitely will for the original SW, and I can see part of that being that the logo and fanfare stays. It’s such a minor point anyway, I don’t see why anyone would contest it or make a big deal of it on either side. Plus, I believe someone just said that other titles distributed by different companies than they were originally have kept the original logos/fanfare. I know I still see that MGM lion from time to time on older movies. The Wizard of Oz, for instance, despite now being distributed by Warner Bros. So when you’re talking about particularly iconic movies like that and the original Star Wars trilogy, movies for which every frame and every sound from the beginning to the end of the runtime have been scrutinized endlessly and have some meaning to somebody out there, some memory associated with them, then I can see them making a point of leaving it in. Especially considering the iconic theme music was literally designed to follow it. They won’t truly be able to call it the “theatrical” version if they don’t, technically. Not as big a deal for the Special Editions since those have been revised endlessly anyway, but if you’re going to try to appease the purists, might as well go all the way.
And I hope they offer both crawls, too, for SW/ANH, which should not be difficult with Blu-ray branching capabilities. Really no excuse not to do it when fan projects here do it.