Building on this thought, I can't understand his mentality of "I am lonely, I have no human connections at all in my life -- yet the only connection I seek, or am willing to consider, is a sexual/romantic one." From Lucas' perspective, if he had friends who were men, or women older than 24 (friends he has no interest in bedding, in other words), well, even if these friends did NOT eventually introduce him to the sexy compliant no-standards bedmate of his dreams, at least he'd have SOME friends. From where he is now, just being able to take those expensive board games he keeps buying out of their boxes and be able to actually play them with someone would be a huge life improvement, yet he refuses to even consider such an option.
Doesn't even need to be actual "friends," for that matter--even a casual acquaintanceship based entirely on "We both like playing these board games, and that's the only reason we ever speak to each other" would be a big step up for him. Yet he gets angry at the very suggestion of getting friends or acquaintances for any reason other than sex.