Short answer is, no.
Not sure what you’re asking here, but yes, as they interact with you on the spiritual level, that’s where their perspective will really lie.
If you call for one that will be partnered with you, I wouldn’t think so.
Otherwise, I do t think one can really generalize such a thing any more than you could with flesh and blood people.
No. Shouldn’t be an issue, I would think.
If nothing else, Lilith is the Mother of demons/incubi/Succubi, and recently I saw a passing comment on one of the journals I think where someone mentioned her “whipping them up on the spot” or something to that effect. 
Lilith can literally birth the succubus/incubus you’re looking for, if need be.
They’re incorporeal, and able to shift their forms.
There’s various stories of them shifting or manifesting different sexual traits.
That’s why we have our own term around here: “Ubis”
As a gender neutral form of address.
This comes to mind especially (an amusing thread too)