I mean, no matter what Vita says, it'll be bad for her.

If she discloses the problems (and if they're caused by a few people), then she is effectively not Fonz-level cool by calling out someone where everyone can see.

If she doesn't disclose what happened, then the person who caused the problem (if there was any) won't be shamed in public, but you want to know exactly who (or what) caused the problems.

What if what caused the problems were extremely personal?

I'd say that you aren't being respectful to another person by pestering them even when they said they wouldn't disclose what happen.