Not only does it fail the B-test but it was somewhat sexist when it debuted and has aged horribly. Its all about what men want and what they want is women as objects. Aside from the music I don't think modern audiences could stomach this kind of female-bashing, and the music isn't that great either. Also several of the songs are sexist.
The one shining hope is that at the time a lot of critics didnt care for Paint Your Wagon. Unfortunately it was not because of the sexism.
One of the Mormon's wifes (Elizabeth) is put up for auction and sold into marriage to Ben Rumpson, the man who staked the first claim in the area.
Ben's increasing paranoia as to the intentions of the other men in the town to his wife causes problems in the community until a town meeting is called, and it is decided by unanimous vote to resolve the problem by kidnapping a coach full of prostitutes headed for a nearby city.
While Ben is off kidnapping the prostitutes, his business partner falls in love with Elizabeth. The love triangle is resolved by extending their business partnership to include the marriage.
The three-way marriage between Elizabeth, Ben and Ben's Partner is upset when they take in a family of farmers whose wagon train was marooned in the mountains, and Elizabeth tries to conceal the nature of their relationship.
There is no conversation between the Mormon's two wives. The prostitutes are never depicted conversing with anyone. The farmer's daughter is never shown talking. The only conversation between Elizabeth and the farmer's wife involves Elizabeth's husband(s).