If I remember correctly, that Bridge was also use for the E-D's Battle Bridge in Encounter at Farpoint.
That said, I prefer the version of the Bridge seen in The Final Frontier. It made sense that Starfleet was starting to develop the look that ended up being the E-D's main bridge. I was disapointed that set wasn't reused for Star Trek VI.
Of course, I have nothing against the bridge seen in Star Trek IV, I just think the version in V was better.