Out of TOS came the movies and TNG.
Out of TNG came DS9, VOY, PIC and LDS
Out of FC came ENT.
Out of VOY came PRO.
Out of Disco comes Strange New Worlds and the oft rumored not appearing anytime soon Section 31 and potentially the Academy series.
It’s all one big universe with one thing leading into the next. The likelihood that there isn’t going to be some sort of crossover event at least for the P+ live action series? Come on. Those temporal shenanigans will be here one day.
But it's not the same thing and you know it.
The MCU has a master plan, and every bit of it now in part services it. I mean, consider the Disney+ shows:
WandaVISION - Focuses on secondary characters from the Infinity saga, sets up elements of Phase 4 (Dr. Strange & The Multiverse of Madness).
The Falcon & The Winter Soldier - Focuses on secondary characters from the Infinity saga, sets up elements of Phase 4 (new Captain America)
Loki - Focuses on a secondary character from the Infinity saga, sets up elements of Phase 4
What if...? - Largely shallow fanservice, but might have introduced elements for Phase 4 as well ("evil" Strange).
Hawkeye - Focuses on a secondary character from the Infinity saga, and sets up a new character for Phase 4
Everything builds upon existing "lore" - similar to how Trek has historically worked. However, unlike Trek, each bit is also put together with the understanding that it will be the building block to something greater from Day 1. Hell, I'd also argue that Disney did that clumsily with Mandalorian Season 2, where they introduced tons of new characters who would all get their own shows.
That level of forward thinking just isn't there yet for Trek. Arguably it was maybe the case SNW, though it's hard to say how much that was being reactive to the positive response to Anson Mount. But in general Trek is still in the "throw shit against the wall and see what sticks" phase - and hasn't done anything even as ambitious as the Maquis arc which stretched across TNG/DS9/VOY back in the day.
I do think there will be some sort of crossover event at some point, but I think it's going to be clumsy and not properly foreshadowed.