"Eve Times Four"

I am struggling with Poul Anderson's "Eve Times Four" in the third NESFA collection because it is sf humor of a kind that does not appeal to me. Since it was originally published in Fantastic Science Fiction Stories, April 1960, I googled the title of this magazine, hoping to find an image of its cover to illustrate the post (see image). Blow me down if I didn't also find a review of the issue. The review states that the twist in the story is easily guessed but I will confirm or disconfirm this for myself in due course.

The fact that the story is a comedy means that:

the characters converse in amusing - or at least in exaggerated -  ways;
unlikely events occur;
we need not take seriously details like one of the characters being a "Lord High Gongbeater" (p. 474) etc;
nothing really unpleasant will happen to any of the characters;
there will be no tragic or unhappy ending to the story.

Would it be possible to write a story set in a parallel universes or alternative timelines scenario such that comedic and serious universes coexisted and people could travel between them? The arrival of a serious character in a comedic universe might produce some genuine humor whereas the reverse scenario would be harder to write, I suspect.

Other parallel universes do not bear thinking about:

the musical universe whose inhabitants burst into song and dance around in the street;
the commercials universe where anyone who uses a commodity spontaneously sings its praises;
the cartoon universe of anthropomorphic animals that can endure any kind or amount of violence without suffering any permanent harm. (Alan Moore shows us this one in Pictopia.)