The cut we have is the only cut. This is the version with the locked picture, foley, adr and score composed to a finished edit. There is no JJ Cut or Lucas cut period.
Though there is a ton of deleted scenes in unfinished shape that are left unreleased. I’m sure fans want a bunch of lowres dailies with greenscreen and no finished audio. I’m being sarcastic of course.
All 9 of the films have had material better left on the cutting room floor.
Deleted scenes are actually quite helpful in fanedits. TFA and TLJ each had a few that improve the film (and are totally useable in HD), and the deleted scenes in AOTC are often better than the ones in the final cut.
I’d love to have deleted scenes in whatever form they take.