Certainly he does not. Because there is no such instruction and in fact I would dare say there is instruction in the opposite. Bishops ARE TOLD AND TAUGHT NOT TO RECOMMEND DIVORCE. They are to work with a couple through difficult issues and then let them make the decision.
Unless a Bishop is a trained therapist he should NOT be counseling anyone! Period! Like you the idea of untrained men playing therapist is disturbing to say the least! :-(
On another note...
In the LDS belief system, if a woman, while alive on the earth isn't sealed to a man who can take her to the celestial kingdom, she is left being given/assigned to some man as a non-first polygamous wife. Not something most women are thrilled with.
OTOH, if she is sealed to someone she at least gets to chose the man to whom she is sealed and will be the first wife. (I guess that is some sort of consolation)?
If a wife loses faith, the guy will just go on, find his harem and call it a day.
The point being, for women, the eternal consequences of her husband losing faith is much more serious than for a man.
I think this doctrine leads to women being much more willing to leave a husband if he loses faith.
~dancer~