Thanks to TotK, we know that Ganondorf's seal broke because of the Great Calamity of 100 years ago, not BotW's present day story. Which means the Great Calamity of AoC should still weaken his seal like on the main branch of the timeline, however this time we're on a new branch and 106 years later there won't be a hero and princess combo to save the day anymore when Ganondorf wakes up. So you would think that doesn't fit with TotK, right? UNLESS...
... Unless we consider events that are unique to AoC's timeline, as well. We know it happened very differently than in BotW's timeline, but stuff was still wrecked pretty bad even if the Calamity was averted this time. And AoC also had Astor and Harbinger Ganon going around making more monsters and fully reviving that timeline's Calamity Ganon, which did not happen in BotW's timeline. We can assume it's likely Astor and Habinger's fault theres so many more monsters in AoC compared to BotW's history. We know Terrako had to jump back far enough to before Link even got the Master Sword and met everyone else like he did in BotW's timeline so it actually starts a *lot* earlier on than the earliest point we see in BotW's memories. Taking that into consideration, with how different things are and how much Astor and Harbinger were mucking things around, I don't think it's a stretch to suggest their actions accelerated the weakening on Ganondorf's seal beneath Hyrule.
So if we assume that's true, it wouldn't be unrealistic to suggest a similar time jump to Ganondorf's revival that we see between BotW and TotK. So how could this work here? We can't send AoC's Zelda back in time because even in this timeline the Light Dragon should still exist. As a matter of fact, on this timeline we'd end up with two Zeldas and two Master Swords. Kinda awkward, huh? Here's how I think we can make that a little less awkward...
Gloom starts seeping out as it did in TotK. Link and Zelda go under the castle to investigate as they did in TotK, BUT this time they have Terrako with them. That will be the key that changes how this goes. Link still gets his Master Sword and his arm messed up, but Terrako is the one to intervene and prevent Zelda from getting yeeted back to the past by her sacred stone. Call it plot magic or triforce magic or whatever you want. Instead he yeets her up to the GSI while Rauru does the same to Link as in TotK. Upheaval still happens. However this time we can't really have several weeks or months pass from this point to when Link wakes up, yeah? So he'll just wake up sooner. Zelda will be up there too. Great Sky Island becomes a new battle map and you have the two of them navigate across it fighting soldier constructs or whatever so they can reunite at the temple of time and meet Rauru's ghost. This is where things can diverge from TotK's story and play out in a new Warriors-themed way.
So, how would the sages and the Light Dragon be handled here? There are two options for the sages; 1. have Terrako yoink them back from the future, post-TotK this time, giving Sidon, Yunobo, and Riju new costumes and weapons and giving us playable Tulin while poor Teba gets left out. Or 2. make the Champions into Sages this time (Revali is a bit iffy here though because its questionable whether there's evidence that suggests he has family ties with Teba and Tulin). Mineru, whose soul was hidden within the Purah Pad, can still resurface the same way she did in TotK, just make the Construct Factory and Spirit Temple into a Warriors map and the rest can work itself out. Playable Mineru Construct would be sick. As for the Purah Pad, it doesn't have runes like the Sheikah Slate did so I'm hesitant to say it can be a new tier of her Sheikah Slate weapon, but that's probably what's gonna have to happen. Just have Terrako work his plot magic on it I guess.
Now, as for the Light Dragon... On this timeline, she'd be stranded in a different history than the one she'd come from and that's depressing... but I think it has merits as an emotional story beat if handled right. She can return to human form here and become a separate playable character from the regular Zelda, labeled as the Sage of Time. And the second Master Sword that she was carrying can still be passed on to Link. There are two options for this, as well; 1. it does some goddess magic or whatever and merges with the decayed Master Sword that Link had originally. The easy way out, and not as interesting to me. Or 2. Sage of Time uses the magic she'd been storing up over millennia to fix the decayed Master Sword too so now Link gets to dual-wield two Master Swords as a new weapon type. A bit silly, yeah, but it would be goddamn cool and it'd be fitting of the nature of Warriors games. I'd prefer it that way, honestly. Speaking of new abilities they could also use Link's new arm here as well and come up with ways to include the hand abilities in combat like they did with runes. Make Terrako able to share them like he did with the runes before since that's the easiest thing to do. Also make Ganondorf playable (duh) and perhaps Rauru & Sonia ghosts as a playable duo or something as an extra treat. They could even use TotK's map screen as inspiration and be able to tab between the Depths and Sky for more points of interest since AoC's map is currently pretty packed.
So yeah. There's a lot they can do here. It can work. I'm not saying they're going to do this, I'm just saying it can be done. If they were going to do it at all, this is how I'd like to see it done.