In Cipanku the first Zone that spawns at 1:30 (I forget the name) has this objective that needs to be killed within 20~ seconds.
This is impossible if a crowd of mobs is surrounding it. I feel like 80% of the techniques in the game (at least in the beta) are random targeting, which are pretty useless against these objectives, but I guess that's not their purpose.
But for the few attacks that are targeted, they don't seem to prioritize the objective. This is at least true for Innki's DC Beam, which inspired this post, but Innki is not the only Tem I've experienced this issue with.