Engineering, the obs lounge and the "President's Office" aside, my general feeling is that slightly more effort went into disguising reused TNG sets in STVI than in STV. But I maybe need to rewatch the movie again to be sure
That one shot of Scotty standing at Geordi's work station *does* take one out of the moment just a little (maybe they should've changed the colored lights on the warp core to white or another color? And turned up the lights a bit to make it look at least a little bit different to TNG's set?)
The only major offenses in STV were the shots of the corridors (which is for a grand total of 6 seconds probably) and sickbay, which uses a very tight shot on Scotty and Uhura so as to not make it too obvious.
TUC was way worse, in my opinion.