I don't think they create any type (false or real) happiness in a person. I'm not an expert but from what I understand what drugs do to a person's body is this:

(1) Excite or (2) Sedate
the Autonomic Nervous System

In my opinion of prescribing anti-depressants . . . the psychiatrist thinks for a depressed person who is numb and feels nothing, maybe symptoms of (1) accelerated heartbeat, (2) faster breathing, and (3) aggitation/restlessness will help the person "feel better" . . . they will be feeling something other than "blah blah blah" . . . maybe the patient will interpret this as happiness, so the psychiatrist prescribes antidepressants.

I'd rather drink a cup of tea.