It goes beyond just some doors -- there's several lines of dialogue in the movie ("Half the doors won't open," "The ship's in pieces"), plus Scotty having just "fixed [that damn thing]" (the Red Alert notification-system), the turbolifts messing up, and the transporters being completely down, which pretty much point to a massive systemic failure of some form aboard the Enterprise.
Michael Piller confirmed in at least one web chat that Data's line in that episode was indeed a direct reference to TFF ("Evolution" was the very first TNG episode to air after the theatrical release of Star Trek V, and it was a nod to that then-recent picture).
Finally, the dialogue dating also confirms that it was TFF that Data was referring to, not TSFS -- "79 years ago" from 2366 is/was 2287, the year after TVH and the launch of Kirk's second Enterprise (Star Trek III having taken place in 2285).
Michael Piller confirmed in at least one web chat that Data's line in that episode was indeed a direct reference to TFF ("Evolution" was the very first TNG episode to air after the theatrical release of Star Trek V, and it was a nod to that then-recent picture).
Finally, the dialogue dating also confirms that it was TFF that Data was referring to, not TSFS -- "79 years ago" from 2366 is/was 2287, the year after TVH and the launch of Kirk's second Enterprise (Star Trek III having taken place in 2285).
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