Were I Army Chief of Staff, I’d sooner take a recruiting shortfall, knowing I had good people to make good soldiers, than make my numbers knowing even more money and resources will be lost cleaning up the inevitable messes they’ll make and harm they’ll do.
That is, I wouldn’t want to meet quotas by taking problem cases off the streets.
I agree with other posters that the services should be made to be attractive careers on their own. Draw in the people you need or can train. Don’t take anything less.