I was medically retired from the Army in 1999. At the time, I was a company 1st Sergeant, the senior non commissioned officer of a unit of 180 men.
During my career, I served a period (YUK!) as a recruiter while climbing the career path.
The military does not require a psych evaluation because if an enlistee reports that he has had mental health treatment, he is automatically disqualified.
Any med history of mental health treatment is disqualifying. A waiver may be granted but they are extremely rare. If is was a case of grief counseling after the death of a family member or close friend would be the only circimstance I (if I was a recruiter) would submit for a waiver.
The standards for enlistment are quite a bit higher than civilians would expect. I first entered the Army in 1965 as a car thief. Fortunately for me, the training stuck and I straightened out.
That would be impossible with today's standards. Any felony arrest, almost all misdemeanor arrests and even too many traffic tickets can be a bar to enlistment.
If you need more, drop a note to me.