The question though is without canon how do you build the world in which you want to tell your stories? How do you really dig deep into a story arc or character arc if you don't feel any need to respect what you establish.Like an anchor around the neck, so is the canon of Star Trek.
The old can be respected while creating the new, without slavish adherence and endless random references and stunt casting.
I'd like all new Trek, and it looks like that's what we're getting.
"TOS" was I think we can all agree the most loose when it comes to canon and continuity. While this worked it also did it with the idea the character's would never grow and the reset button would always be pushed and you had to relay on alien of the weeks to tell the stories.
I think most fans want more from modern Trek or any modern tv show. They want stories with individual stories with a mix of mytholgy in the background or they want all mythology and one big arc. You can't do any of those things if you don't create a bigger world outside of that week's episode.
Granted each tv show has to basically create a mythology just for itself but at the same time if your something like Trek you got to also find ways to still connect to the bigger universe.
To me it's all a balance. You want your show to stand on it's own and have it's own arc and mytholgy but you also want to feel like it's part of the bigger Trek universe we have been following.
I think everything from Berman Trek,Stargate,Arrowverse and the Marvel movies have basically worked like this. It doesn't matter if Iron Man has almost nothing in common with Guardians of the Galaxy but it's still fun to think they are all happening in the same universe.
Jason