Well Discovery is definitely the cream of the crop when it comes to a rabid amount of hatred. There is some genuine criticism to be had, don't get me wrong, but people complain of the dumbest things possible for the dumbest reason possible. That or they don't watch the show, only know half baked things and then base everything off of that. Or saw 4 episodes of the first season and gave up but are still hating on it.

However all of those things are not new. When TNG was released it had a similar level of animosity. People fucking hated it. There were some really violent and hateful things said about the actors and even some threats thrown the way of production staff (although I could be wrong on the threats. That's what I remember from a ConPanel anyway). People hated it. A lot of hate was given to the fact that there was a woman as Security chief, nevermind as CMO and as Counsellor. Then the fact that there was a bald and french Captain? Fucking pass. The show was lambasted and hated and didn't start getting accepted until around Season 3 when conventions started turning. The actors all talk about this at conventions saying how it was a while before people started accepting them.

When DS9 came out? Same thing. Black Captain? Instant racism and hatred. New aliens? They all suck. It took until about Season 2-3 for people to warm up to a bit. Voyager? Exactly the same thing. Janeway was hated simply because she was a woman but a lot of people then took issue with her decisions, saying she was "too emotional" and "Kirk or Picard would have done this better". Enterprise? Same deal. Although Enterprise frankly deserves an enormous amount of criticism (thanks to Rick Berman, may the sexist, racist, homophobic, bigoted, hateful motherfucker suffer from a rotten dick until the day he dies), it also got an undue amount of hate simply because it was new. This carried on with the Kelvin timeline movies with Pine. People lost their fucking minds. It was only placated a little when people realized it wasn't a reboot but an alternate timeline and that it was sanctioned by Nimoy himself. Even then people still viciously hated and were opposed to it. Again, people warmed up over time although certain movies like Into Darkness are still particularly hated. Mostly because of some truly awful writing decisions.

So when Discovery rolled around nothing really changed. The same hate. It didn't help that a lot of things were visually new. The show isn't a reboot but a visual reboot. Everything stays within lore and canon, despite peoples complaints otherwise, as things were very carefully chosen to fit within things already established. I've had many discussions with people and no one has ever been able to find a single thing that doesn't jive with pre-established lore. They just are probably not aware of the lore because Trek has so much and I do not blame them for that in the slightest. Picard carried on that tradition although the first two seasons of Picard are genuinely badly written so a lot of criticism is valid. The third season sees also an odd amount of hate based off of feelings but not of actual issues with the story, effects, characters, etc.

The only things that have sort of skated that have been Lower Decks and Strange New Worlds although both of them still do get criticized heavily. Not entirely sure why that happened but I suspect it's because Lower Decks is so drastically different from everything that came before it while being the most heart filled love letter to Trek in history and because SNW got a lot of its backlash during Season 2 of Discovery. However SNW and LD are also just genuinely very good and started extremely well molded as opposed to literally every other Trek show in history where it takes a season or two to find its feet.

Probably more than you asked for in all honesty.