Technically they already have carried over something from DSC -- the Discoprise with angled nacelles, seen as a hologram in Starfleet HQ. But I guess that probably doesn't qualify as "serious" in the way you mean it.
I'm not talking about sets or designs or production material or anything like that. Things made around the same time are going to use a lot of the same things. And models take a while to design, physical or CGI. So there's a lot that's going to be recycled and reused. That's the reality of television production, like it or not. Hell, the season finale proves they weren't going to break the bank on starships, because they weren't the main focus.
I'm talking about in-story, characters from other series, things like that. I don't think it's some radical leap to say there are people watching
Picard who don't watch
Discovery. A lot of them are here because "I used to watch TNG!" So to have Georgiou -- or anyone else from DSC -- show up would make them go, "What the Hell is that?!"
This is the way it breaks down:
- Picard will dig deep into TNG lore, a lot into VOY too. That's their lane.
- Discovery's lane has generally been following up on ENT in a limited way, tying into TOS, and showing DS9 races (especially when they made the jump to the 32nd Century).
- Lower Decks focuses on TNG in particular but "Everything Goes!" TOS, TAS, TNG, DS9, VOY, ENT, it doesn't matter.
One size doesn't fit all. Once you know how each of the individual new series operates, then you can better figure out which series they're more likely to borrow from.
"But what about "Unification III" borrowing stuff from
Picard like the Quowat Milot?!" Yeah.
Way ahead of you. If Romulus is destroyed, then it's not too crazy to figure maybe the Romulans might end up on Vulcan if Spock's goal was Unification. So once you have Romulans on Vulcan, a lot of their culture will transfer over, and TNG might've had great Romulan episodes, but -- I'm sorry to say -- they did a piss-poor job of developing the culture. And TOS only really had two Romulan episodes, where you don't get to see too much of the culture either. So they had to use elements from PIC, basically out of necessity, to flesh out the Romulan side of things because Romulans, unlike Vulcans, never had a main character in a Star Trek series every week before where we could really get to know them.
And "Unification III" explained the Quowat Milot in such a way that anyone who didn't follow or remember
Picard wouldn't be totally lost.
Romulan Nuns who tell it straight. What more do you need to know?
But not every case is going to be so easily explainable. "Georgiou! She was from the Mirror Universe in the 23rd Century! Then she travelled over to our Universe! She was evil, then she reformed! Then she ended up in the 32nd Century! Then she started phasing because of Space-Time! Then the Gaurdian of Forever sent her back to another time so she wouldn't phase out of existence and now she's here!" Read that over again. You're going to explain that to someone not in the know, totally out of the blue? Yeeeaaaaahhhhh...
No. It's apples and oranges.
And bear in mind: I'm a fan of Georgiou and DSC and all of that. So if
I'm the one who's telling you this...