In the new shows, they actually call the mirror universe the mirror universe, which is something that they don’t do in previous appearances- in DS9 they always call it the alternate universe.

Seven being gay (or at least not straight) is a good one- I think it’s something a lot of people had as a bit of a fan theory but it’s something you would never see on Berman Trek.

The warp effect in Beyond is the warp effect for the Alcubierre drive. Seeing as it’s basically the only plausible way to have an FTL system I’m fine with treating it that way since the ship practically moves at the speed of the plot so how it actually moves doesn’t really matter

I feel like some of the writers finally came around- for example In Discovery S3 the emerald chain wants to co opt the name of the Federation because the Federation is still viewed very highly.

I also appreciate that we see the motivation behind being a badmiral

I don’t think most people in the Federation think of it that way, I think Pelia (somewhat derogatorily) thinks of it that way.

For one thing Odo can’t shapeshift for a significant chunk of season 4