Discovery bringing Georgiou back in season 2 as a Section 31 agent felt to me like the show was doing this, and is what put me off that show specifically. I really like the majority of modern Trek shows, and even like 2 out of 3 of the Kelvin timeline movies.
Georgiou eventually turned on her S31 superiors, joined the Discovery crew, and tried to make the Mirror Universe better when the Guardian (sort of) gave her the opportunity.
I think they brought her back in an attempt to backpedal the absolute fucking disaster that was season 1. I honestly enjoy Discovery as sci-fi, but when I rewatch Season 1 I can't shake the feeling they took another IPs pilot and stretched Star Trek over it like a horrible skinsuit.
It had exactly the opposite effect for me. I greatly disliked season 1 of Discovery but thought they wrapped it up well enough at the end of the season that they could move on. Georgiou showing back up in season 2 read to me as them having learned absolutely nothing and doubling down on the disaster rather than backpedaling from it.
Yo, if you don't mind a bit of the Clone Wars getting in your Trek, Prodigy is a fantastic watch, Admiral Janeway is in the running for my favorite Star Fleet officer.
Nah genocide isn't my jam... But yes, I believe the Dominion war wouldn't have ended without the virus. The Dominion would have just kept sending ships and Jem'Hadar from the Gamma quadrant.
Edit: btw I dislike the way DIS "unshrouded" section 31. It was much cooler in DS9 where we were left to wonder whether it actually existed or not, or it was just Sloane being godlike in his manipulation skills.