"The set used for the E-C, Hathaway, et.al. is a different set altogether."
Are you sure? I thought the battle bridge was a modification of the first three movies bridge set. And the Ent-C was also a modification of said bridge.
The ship in Gambit is fairly obviously a redress. Look at the viewscreen. It has the exact same Red Alert light flashing above it as the battle bridge from BOBW.
-------------------- Yes, you're despicable, and... and picable... and... and you're definitely, definitely despicable. How a person can get so despicable in one lifetime is beyond me. It isn't as though I haven't met a lot of people. Goodness knows it isn't that. It isn't just that... it isn't... it's... it's despicable.
Ignore the overhead views - many of them are inaccurate.
Anyway, you can see that the original E-Refit bridge was refit into the E-D battle bridge and the Stargazer. Another set, distinguished by the large wall segments that angle inward in large trapezoidal sections as they go up, is seen as a multitude of different ship and planetside sets, including the E-C, Pasteur, BoBW E-D battle bridge, Hathaway, the ship in "Gambit", Data's lab, etc. The forward viewscreen may have been shared by the E-Refit and new set, but it's tough to say.