And if so, how does it manifest itself, is it perhaps another system than Psychological Types?

An example: my gf has two males cats, a 4 and 2 year old. The oldest one is snugly and comes to sit with me, but more often with my gf. The 2 year old is somewhat of a social retard, he does not understand how to ask for attention. He is a strange cat: when you throw the plastic cap of a bottle, he brings it back like a dog, and he never gets enough of it. Sometimes he feels down, and he can't be cheered up, so I get a plastic cap of a coke bottle and throw it, and in no-time he's happy again!

He also doesn't know how to ask for getting petted... unless I'm in the toilet, for some reason he learned that's the perfect place to be petted

According to my gf, when I'm not at her place, he often goes wandering around looking for me. How she knows this, is a complete mystery to me, but it's flattering anyway. I think he must be SLI