To some extent, that's Jeri Taylor's doing.
Braga and Moore's early draft segued from the Enterprise-B to the Amargosa Observatory. We'd have seen the Romulan attack from the perspective of the crew there, and then the Enterprise-D would zoom in to save the day, and then we'd meet the D characters.
Taylor thought that the script went from one action sequence (B in the Nexus) to another action sequence (D driving off the Romulans), and she suggested introducing the characters instead. This resulted in a scene where we met the characters pushing eggs with their noses around the holodeck. Later this was replaced with Worf's promotion ceremony.
The story could've been structured exactly the same way and still shown off the ship better. Replace that first,half-hearted exterior shot of the back of the saucer with a proper beauty-shot intro -- maybe led into by the montage I suggested. Add a few establishing shots of the ship exterior when cutting back to the ship from elsewhere, rather than just cutting directly to the interior. The problem isn't in the script phase, it's at the other end of the process. They could've given the ship more love in post-production and editing. Instead, they treated it as an afterthought.
Nope. The films treat the D and the E like places the audience already knows and loves. With the D, that's probably justifiable.
Not really. Not all Trek movie viewers are also Trek TV viewers, or even Trek viewers at all. The audiences overlap, but not entirely. A fair number of people were probably fans of the TOS movies, or just casual moviegoers, but had never watched TNG. That was the whole reason the makers of
Generations deemed it necessary to make it a transitional movie from the TOS cast to the TNG cast, as a way of introducing the TOS-movie audience to a new cast and setting they weren't necessarily familiar with. So it didn't make sense both to make a transitional/introductory movie for a new audience
and to assume the audience already knew everything about TNG.
I mean, look at
Serenity. It didn't assume its audience was familiar with
Firefly. It took care to reintroduce the world and the characters and the hero ship in its opening minutes, to re-establish everything as if it were from scratch, so that it worked both as a standalone and as a continuation of the series. Heck, ST:TMP did much the same thing, taking its time to introduce the main characters and their arcs one by one and to establish the world and the ship rather than taking them for granted.
The problem with GEN is that its makers were working on it while they were still wrapping up the TV show, so they were still approaching it like a TV episode. They should've taken more time between the end of the show and the movie, or should've handed the movie off to other people, so that it would've really been a fresh start.