Ongoing defensive tactivators and objective flipping

This is just more a curiosity question that I've always been wondering about. Let's say if something like stonemist castle got flipped during an ongoing airship/chilling fog that was still ongoing and had a bit of duration on it left, when sm flips does the leftover duration of those tactivators just get nullified for new owner, or does it still apply effects/dmg to whoever is considered the new enemy? This isn't really anything serious, but was wondering if anyone knew, and thank you for anyone who has the answer. I just like to know random stuff like this.

ideally it should disappear since the peg it was attached to is no longer in the tactivator.

It's the latter based on experience. Had quite a few experiences of flipping SMC while airship is activated and watch the former owners get blasted.

Ahh, this is interesting, ty for the answer. I guess you gotta be a bit lucky for it to happen though, timing and all but it does happen.