Perhaps it is because you're not seeing it from the point of view of that group of people who you care so much about. You see it as a thing because hey, it's a fake science fiction show and all you care about are the people. But why assume that just because you feel that way that the people within the show should feel the same when they're the ones serving on it? Some great character moments in Star Trek even come from scenes where the characters talk about the ships they served on.
PICARD: Constitution class.
SCOTT: Aye. You're familiar with them?
PICARD: There's one in the Fleet museum, but then of course, this is your Enterprise.
SCOTT: I actually served on two. This was the first. She was also the first ship I ever served on as Chief Engineer. You know, I served aboard eleven ships. Freighters, cruisers, starships, but this is the only one I think of. The only one I miss.
PICARD: The first ship I ever served aboard as Captain was called the Stargazer. It was an overworked, underpowered vessel, always on the verge of flying apart at the seams. In every measurable sense, my Enterprise is far superior. But there are times when I would give almost anything to command the Stargazer again.
SCOTT: It's like the first time you fall in love. You don't ever love a woman quite like that again. Well, to the Enterprise and the Stargazer. Old girlfriends we'll never meet again.
I don't look at the Enterprise and say that it's important. The characters do. For this Trekkie, the importance of the Enterprise to it's characters are as important to me because I would do almost anything to be able to experience what it's like to serve on a ship like that.