I would like to talk about... Lickilicky.
I just got, in a fight, a banded Lickilicky (knock off, explosion, body slam, EQ) with Oblivious. I noticed it after my opponent used Taunt on it.
Oblivious is obviously fantastic on SD or Support Lickilicky sets. However, on a banded set? Its only use is against Lopunny, the sole Cute Charm carrier in randbats. I noticed it was the only ability that Lickilicky can get.
Forgive me if I mix things up (don't remember if abilities are always generated before or after the movesets), but to my understanding, certain abilities can be associated with a specific moveset or previously generated teammates (i.e. sand rush on excadrill if a teammate generated before it has sand stream, or if it has a rock type move).
Given that, there would be zero reason to not have Own Tempo over Oblivious for banded sets. Both block intimidate, and Own Tempo has the benefits of preventing confusing, which is far more likely to happen (hurricane, strange steam, dynamic punch, water pulse, gmax smite...) than infatuation from lopunny.
Cloud Nine could also be more useful, preventing Lickilicky from being outsped by opponents whose speed is boosted by weather if it lands a paralysis with Body Slam, being hit less from weather boosted moves, etc. But I think Own Tempo is overall a better choice because of its double utility (blocking intimidate and preventing confusion).