T2 did that with the teaser trailer, where you see the construction of the endoskeleton. Sure, it was meant to go into the movie at some point, but it was left out.
That trailer is better than all the subsequent sequels put together... and they still don't even reach it.
The parallel universe trope allows cut footage to be used.
It might be nice to see a CGI James Arness Thing watching cut scenes from the 1982 THING where Fuchs and BENNINGS were killed in more of a murder mystery.
Think the recent Salem's Lot remake had a whole third hour deleted. Could be a Kingdom of Heaven situation where all that added content completely alters a movie for the better.