Honestly, I've given up caring about continuity and timelines. I want good stories. I want good writing. I want good acting.
If some mishmash of background details and naming conventions wants to call itself Star Trek this or that and shoehorn its way into the odd decade or year that hasn't been staked out already, fine. If it's good and true to the spirit of the original series, I'll watch it. If it's just a veneer of Trek souvenirs painted over a Space Opera western, then I'm not interested.
For me, that means stories with heart, that wrestle with principles and morality, with concepts of good and evil. So far, the visual patina of Strange New Worlds looks promising, so I'm willing to give it a chance to see if there's any depth beneath.