I disagree about the Loyal 3 because as soon as they wake up again in the Teal Mask present, they run off to take the masks and beat up Ogerpon again (considering she's clearly distressed when you arrive but they didn't take the mask and leave either before you arrive), which isn't exactly moral even if the first fight was under mind control.
Yeah the way the Mochi works basically comes in 2 flavors:
-outright mind control: this can be enacted at any time but is not necessarily the default. We see this with the town's folk, some had delays on it others had their will subjugated instantly and Pecharunt dragged them all to the shrine later on
-you're left alone but you're just probably more of an asshole than you were to begin with: we see this with the old couple, but this is also probably what happened with the Loyal 3. All of them had issues, Pecharunt solved them, they're indebted.
Pecharunt might have sent them up there but they're still just kind of jerks. Not like Pecharunt ordered them to kill the guy, and they probably went up there following Pecharunt's orders under their own will.
Also if we're splitting hairs, while I think people do get a bit up in arms over "villain" labels, "antagonist" is more of a neutral umbrella term. Characters like Team Star and Kieren do fall under that: they're being jerks who are opposing the protagonist on their own grounds. It's ultimately not that big of a deal (team star's just harranging people, Kieren is being more outwardly antagonistic to everyone around him), but it's still not an inaccurate assessment.
Characters like Nemona, probably less so. She's your rival, but every battle is on even terms and she's not actively opposing anything you're doing.
Carmine actually is antagonistic to you at the start of teal mask, as a character trait.
Something like Clavell trying to stop you from fighting Casseopia probably would count as antagonistic behavior as well, even despite his good intentions. It's just how the term works.
The AI probably wouldn't count at all, imo, the actual antagonist of that section is arguably the
og professor Time Machine itself. The AI just has to fight you because of the stupid protocols and until
the protocol starts up it's 2 people on agreeable terms trying to stop the thing.