I like just about all the things people criticize about DSC (excepting the writing), though I also am a nitpicker of the Phil Farrand school so even the best episodes will get torn apart with love.
I mentioned on another forum (when I was discussing why I don't enjoy - even don't understand - fanfic) that I'm fundamentally a Dolyist, not a Watsonian. I'm really not concerned in the slightest with trying to find within-canon explanations for how things make sense. I'm much more interested in works of fiction from a writerly perspective - trying to figure out authorial intent. This means I just don't really get immersed in fictional worlds - I'm always casting a critical eye about trying to figure out how things were actually slapped together.