Should I try watching Discovery? I’ve heard the most horrid things, and I’m a huge fan of TOS.
No. My understanding is that the last little bit of Season 1 starts the crew adopting some semblance of Prime-Universe-Starfleet’s ideals, but I haven’t watched that far. Early Season 1 has a tone to the characters that feels more at home in The Walking Dead; retcons TOS side-characters from once being mischievous to now downright sinister; throws in the word “fuck” at least twice for edginess’ sake; throws the concept of respecting the chain of command out the window; and completely screws with what tech should be available at the time.
So unless whoever it is over there that’s running things gets their act together and does it right (like The Orville does), that will be an emphatic and unequivocal “No.”