"Romance" IMHO is a bit of an exaggeration. The two share a humorous line or three when working under pressure in the beginning. Then Uhura gets "amorous" at Scotty after the latter has been captured by Sybok's forces, and we are supposed to realize that this means Uhura is not herself...
Personally, I hate a visual or two, and the confusing editing of the first third of the movie where the as such nice scenes at the park only slow down the plot. Plus I think the old heroes could have been shot in a more flattering manner shipboard: fewer whole-body revelations, more close-ups, that sort of thing. And yeah, I could have done without the Scotty-bump joke, but that's not too bad if it's the only adverse thing remaining.
Basically I think it boils down to this: a "remastering" in the sense of what was done to TOS, coupled with a bit of re-editing, could SO save this movie without the need to reshoot any of the actor bits.
Timo Saloniemi