I grew up with the original six movies and TNG. I also enjoyed DS9 later, so Star Trek was never about one character or one set of characters to me."Star Trek" for me is Kirk, Spock and the Enterprise. They are the center of everything great about the franchise (for me). The other shows just feel so... disposable. Maybe they would've had a greater impact on me if Paramount had not cranked out series after series after series, one right on top of the next. It all kind of bleeds together.
I agree that cranking out one series after another was annoying and diluted Trek.