This is a fairly common thing among the more self-aware NEETs: they realize how broken they are as people, want someone to force "getting fixed" upon them, and see the military as the ideal solution: something you can't easily get out of, which gives you orders and generally makes things extremely unpleasant for you if you do not follow them.
I feel the pull myself, to be honest. I'm not a NEET, but I struggle with severe problems motivating myself to do basically anything. I somehow manage to stay employed, but it messes with my life in other ways. I generally look at NEETs with disgust, but I can't deny that I see a lot of appeal in the concept, and despite the scorn, I do find myself identifying with them in many ways (which isn't a very healthy combination, to be honest). So I understand the appeal of the service as a way to get fixed, because I feel it too, though I'm too old to enlist anyway. And yes, I am seeking help for this.
As I understand things, though, for those who do try the military, it seldom ends well. Many don't even make it as far as basic training: they fail the tests required just to get in, often on mental health grounds. Those who pass that hurdle often wash out of basic. Even many of the people who get through all this, it seems, often have discipline problems afterwards: some were indeed straightened out by the training, but not everyone, and so when things relax a little after basic, they revert. And for everyone who didn't make it through or who reverted after, this all winds up backfiring, because now not only didn't you get fixed, you've got a pretty major failure under your belt.
The military also really doesn't like being used this way. It's one of the reasons they oppose universal service. The usual quote is "we're not babysitters", and they make a good point. They have a good reputation for straightening people out, but they aren't designed for it, and that has consequences for people trying to use it for that.
This is true. I joined the military after making it through the screening process but failed in bootcamp mostly from a mental standpoint. Couldn't handle all the stress and just broke down. turns out putting people with confidence issues and years of not doing anything of value in military basic isn't a good idea.