I have no problem paying for TV. I don't have a broadcast TV at all. I get everything via streaming.
But consider that Netflix costs $10.99 per month My kids use Netflix on an almost daily basis. I'm actually not a big TV guy (more of a reader and gamer) so I use it more sparingly, but use it to watch old Trek, some other sci-fi shows, science and nature documentaries, and occasionally a movie or two. So I get tens of hours of viewing for the whole family per month for $11.
In contrast, CBS All Access costs $5.99 with commercials, or $9.99 without commercials, per month. When I subscribed during Season 1, there was nothing other than Discovery I was interested in watching. Therefore, I was paying for just DIS. I am willing to do this again for Season 2, since it's four episodes per month the show is on the air, but not for the Short Treks.
So that's my issue, personally. I have no problem paying for Trek, but I don't like that I'm basically forced to pay for a whole slew of other content I have basically no interest in in order to get Trek. Netflix just gives me a lot more bang for my buck. If Netflix cost like $40 per month or something, it would of course be a different calculation.