Truly, "NEET" is a mental health issue in almost every case; when you look at it carefully it seems like a terrible way to live. Being utterly disconnected from your peers and potential social contacts is just not good for the human animal.
I came from a comment on a more recent story[0] so I realize I am a bit late, but what about being a NEET implies social disconnection? I believe you're thinking of shut-ins or hikkikomori[1] if you want to keep in line with the parlance.
NEET can simply mean someone is unemployed or "between jobs" as you will, which my undergraduate microeconomics courses told me is a normal occurence (cyclic economies, employer/employee mismatches over time). Whether they get money from the government or live off their family, plenty of my peers during bouts of unemployment would still go out.
I realize it's colloquial to continue the bastardization of NEET to mean someone who has withdrawn from society, though I feel the nuance requires particular attention especially if we're attempting to diagnose problems and propose solutions. Indeed there may be overlap, but what can be said for one set may not be true of another even if one is a subset of the other.