It is possible to, say, care about some archetype, and then perceive that archetype in a person you've recently met, and apply your feelings to them. There are people that find it easy to fall deeply in love quickly. I think this is what goes on in their heads.

Not caring at even the basic level strikes me as a lack of empathy.

Perhaps you are a very cautious person, that's your prerogative. What about that statement makes you think it applies equally to everyone else?