Strange New Worlds, and Lower Decks for that matter, have episodic plots and sci-fi set pieces that would fit classic Trek, but is also very melodramatic in the "I'm have a deep dark past and I'm emotionally damaged from it" way as opposed to the Shatner style overacting melodrama of TOS. It also heavily relies crew members throwing emotional shit fits at each other as a source of conflict which wasn't much of a thing in TOS or TNG. In the old shows the idea was in the future people would be able to put their interpersonal conflicts to one side and do their jobs. Those who couldn't were generally portrayed as antagonists. In SNW there is more drama between crew members than a bunch of high school students working at a Denny's.
Personally, I'm not a fan of those things, but I wouldn't say SNW is by any means a bad show. It's probably the best you can expect from a franchise like Star Trek in the current year.