Of all the opportunities this deal will afford Disney, I doubt re-releasing the Star Wars OOT is high up on that list. I'd love to see it, but it doesn't seem that critical in the bigger picture.
IF it's going to happen -- and I'm not saying it will -- it'll probably happen in the next 5-10 years. Closer to 5, I'd think. At whatever point 4K panels become the "standard" in homes, that's when it would make sense to release a new version remastered in 4K.
But that, again, depends heavily on
how Disney goes about handling the scan.
This is all just speculation, but the special edition stuff is all done in 1080p native format (as is the PT). Now, you can upscale things, but you can't wring more data out of an image than what's in there originally. Basically, any upscaling of 1080p will be the software "guessing" at what's between the pixels, and filling it in. It might still look fine, but it won't be information that originates in the image.
With the stuff actually shot on film, that leaves Disney with a choice: redo the entire scan from the 1080p material they already have -- which could lead to unnatural looking sequences between the native-1080p content -- or rescan the original material and upscale only the SE material.
IF they go about doing this by rescanning the OT material, then they MIGHT use the OOT as a source, and plug in the upscaled SE material later.
IF they do that, then they MIGHT decide to take the scanned OOT material and just release it cleaned up on its own. I would expect this would be part of some much more expensive "mega-set" featuring all 6 (maybe 9, by that point?) of the films, including a "limited edition" version of the OOT films. IF those sold well enough, they MIGHT then release them separately, but they might just leave it as a one-time thing (kinda like the 2006 "limited edition" that included the laserdisc rips).
There is also a short window within which they can really do this. The OT as a property is aging. There's a whole generation of kids -- now in their 20s -- who view the OT as an afterthought. they grew up on the PT and the Clone Wars cartoon. That's what they dig the most. They're pissed that the new films are ignoring that stuff (just like some of us were pissed that the OT was being ignored when the PT came out). But a rerelease of the OT/OOT won't really move the needle with them. Meanwhile, the Gen-X/older Millennials are sliding more into an "Eh, I don't care. Whatever my kids like" attitude. Not all of them, but possibly not enough to care. And they've already bought the series twice now (on DVD and Blu-Ray) to say nothing of the old VHS copies they might've had. Many have grown accustomed to the SEs and just don't care a ton anymore about whatever flaws they have.
Plus, there's the unlicensed versions out there like Harmy and Adywan that may have satiated people's appetites for this stuff. For now, anyway.
Then there's the separate factor of how content will be delivered. If Disney moves increasingly towards digital streaming, then (1) it has no incentive to remaster the films, since most streaming isn't even taking advantage of full 1080p streams right now, and (2) it doesn't make a ton of sense to have two streaming versions of the same film (even as "Director's Cut" and "normal" versions).
Lastly, there are the personalities involved. Kathleen Kennedy was -- and probably remains -- close to George Lucas. They were colleagues for years, and likely friends as well. It would be really, really tough to go tell your friend "Hey, you know that thing you hoped I'd never do just for a buck? Well....I did it. Sorry!" Especially when she knows his passion for "artists' rights." Lucas may have no legal right to say boo about Star Wars anymore, but would you tear up your buddy's magnum opus for cash? Even after he'd sold it?