I too, tend to be much kinder to psychologists than psychiatrists, the former tend to be much more concerned with perception and cognition, and much more open-minded about behavior. They nicely overlap with philosophy.

Psychiatrists seem to be much more obsessed with diagnosing and treating pathology--not to mention they are the ones authorized to prescribe drugs and surgery, testify in court proceedings and influence the arts. Unfortunately, physicians are trained to think like engineers, not as scientists. You have experimental psychologists, but doctors already know all the answers.

I don't know about pool boys and gardeners, but your coital statistics do suggest an explanation for the conservative obsession with firearms. They must suspect that someone somewhere is always dipping into their stash, and getting more than their share.