Does detachment here mean "avoiding emotional involvement"?

Yes Ori, I'd say so. Hope you get further input from guys like Lay and Con

I agree with Dale. But when you say "avoiding emotional involvement," I tend to add an implied "with others" to the sentence. Maybe that's not how you mean it, and I'm just reading into it.

The last sentence may imply a little more though. It says: "He or she doesn’t care what happens to self or others." Since he purportedly doesn't care about either himself, or others, the "detachment" seems to be from all personal and inter-personal concerns whatsoever. If so, I guess you could just use the word "apathetic" instead. But that term is, at least in some ways, different than the phrase "avoiding emotional involvement. Or so it seems to me--maybe not.

Apathetic means "without pathos" (feeling), as far as I know.

Also, avoiding implies choice; this personality type, it would appear, is incapable of emotional involvement.