I don't think I'm fully understanding your argument. Are you claiming that only police procedurals would have the same demographics as a Star Trek show? Are you claiming that this Star Trek show is so much different (and possibly better) than the rest of the CBS programming that the network simply had no choice but to put it in a streaming model?
I'm saying Star Trek is completely different from every other show on the network. That the demographics of their audience is completely different from those who would watch Star Trek.
Google the CBS fall lineup. They have sports, a couple sitcoms, Survivor, and a whole mess of police proceedurals. That's what they air.
Putting Star Trek is like putting CSI or Real Housewives on SyFy. It's just not a good fit.
Personally, for the shows I choose to watch, I pay no attention to whatever shows are on before or after the show I'm interested in watching.
That's great for you.
But the people in charge of TV networks have to worry about that stuff. Because they have to cultivate an audience. Because they pay the bills through advertisements, which requires pairing ads with shows. You can't have a show aimed at 20-30 year olds with commercials aimed at 40-50 year olds. Your sponsors won't make money, and will go elsewhere.
They want people who watch their channel to turn into multiple shows and not just watch one.
CBS isn't a good fit for Star Trek. They tried going against their demographics a couple years ago with Supergirl. And it didn't work well.
They do have other networks.
Do you think Star Trek would be a better fit for the CW? Pair it with Vampire Diaries, Supernatural, or Arrow. I'm sure everyone is craving a Star Trek show about attractive 20yo with drama based on secrets.
Maybe Showtime. Add some gratuitous nudity and heavy sexuality.