Marion Zimmer Bradley set her Darkover series on a world orbiting a red dwarf star, and included an ancient alien race there that was so old that their own starfaring days happened before humans had discovered how to make fire. For the chieri, it was a case of "been there, done that, we came home, leave us alone unless we choose to contact you."Heh, I was thinking the same thing.
I think it's because when the episode was written 30+ years ago the general belief was you needed a sun-like star to support life. Larry Niven basically made the same mistake with Ringworld. I feel that the long lives of red dwarf stars wasn't particularly appreciated until more recently.
Scotty wouldn't have liked first-season Bashir (nobody liked him at first, other than Garak). He would have had a hard time accepting knowing Bashir was genetically enhanced, due to his experience with Khan (remember that Khan was responsible for the death of Scotty's nephew, Peter Preston).
Dunno if McCoy would have liked later season-Bashir. First-season Bashir put his foot in his mouth in nearly every conversation, but he could also surprise people.