The whole idea of "Canon" is a comforting self delusion and lie.
Let it go. Enjoy what's in front of you. Stop getting distracted by things that don't really matter to the story at hand. That's how TOS did it.
Risa
Star Trek memes and shitposts
Come on'n get your jamaharon on! There are no real rules—just don't break the weather control network.
I mean there's nothing wrong with your second point about enjoying what you like and not getting distracted by minutiae, buuuut unlike other franchises Star Trek quite literally does have an official canon:
That would be the lie part.
Wake up sheeple Big Trek and Wikipedia are lying to you!
Worf's Klingon prosthetics literally changed between season 1 and seasons 2-7 of TNG. This obviously raises serious continuity issues about whether seasons 2-7 of TNG are even canon...
https://screenrant.com/star-trek-worf-tng-klingon-makeup-change-reason/
Nobody hates Star Trek as much as Star Trek fans.
Obligatory:
I like to imagine that Discovery takes place in the Kelvinverse rather than the main timeline.
There would be actual canon issues if that was the case as opposed to the mostly imagined ones that people bring up.