So, in your vision here... what do player characters who pick their intimate interests based on things like attitudes, personality and demeanour, rather than boxer-short anatomy, do?
I honestly do not get this part.
I read it now 5 times, and have no idea what you mean.
As for the rest.
Right now one issue is that everyone in the party all attempts to jump you at the same time, and, also, everyone, regardless of any other aspect of their personality, apparently thinks it's a good idea to jump into bed with someone they barely know at the end of an alcohol and post-battle-mortality fuelled party. That's definitely a problem. Exactly "who" asks you if you're interested is not.
I also think that the biggest issue is that everyone jumps at you at the same time.
And also I do not think every Origin character should be interested in the Player Character.
That is absolutely unrealistic.
That said: The tactful route that most games take in this regard, and which Larian are, at present, completely disregarding despite there being well established reasons WHY every other game does this... is that the player MUST give the first indication of pursuit, and it must be clear that that is what you're doing. Even for assertive companions/NPCs that will lead the romance, the player must give a clear flag of some sort first to let the game know that they are interested; this is like letting your DM know, "above the table", that your character is interested in someone, even though the character might not have done much to show it yet herself... Most video games handle this by way of a dedicated flirt dialogue line early on in the game, or at least prior to any major romance interactions, to signal that you want to pursue. It's not completely fool-proof, but it's at least functional... The game doesn't do this at the moment, and it should.
I very much like this. - honestly I do not play too many games nowdays, so I wasn't really aware of this.