I'm realizing that I've been too casual and pretty inconsiderate about this issue. Let me clarify:
There is no policy among the QMs about the need to avoid dating.
Statements that I've made on the subject have been personal opinion -- I believe initially I was careful about stating "For myself" or "I would prefer", but at least in the last few posts I wasn't.
Whatever I've said on the subject has in fact been personal preference; it's not something that's been discussed among the QMs and there is definitely no hard-and-fast rule about it.
Beyond that, I've had several people point out to me, all of them in a nice way, that I'm being overly jumpy and it's probably not an issue as long as we're tasteful. So long as everyone keeps their clothes on and hands away from naughty bits and we don't use explicit language, we're probably okay.
So, yes. If you want to sail the SS Hazino, or Hazinatino, or whatever, I give you my personal blessing to try. The other QMs can make their own feelings felt.