Interestingly, I tried to track down something more scholarly because I think you're asking a fair question. I couldn't actually find anything.

This was the closest I could find:

https://janes.scholasticahq.com/article/2238.pdf

It doesn't really answer your question although it does point to a genre of Sumerian humor involving sexual disgust. Some of the lines are vaguely similar to the one in the article.

Women fart. (Something I thought I'd never have to say.)

I don't think GP was suggesting women don't fart. It's a relevant question.

Pretty sure they are trying to finger out if there's a chance of mistranslation or an extra layer of pun to it.

I am sure that "finger" is not a Freudian slip.

Sadly, that joke will not last for 4,000 years :)

This literally made my wife laugh out loud.

That's a relevant question. "In her husband's lap" could be interpreted as girl-on-top, making pretty good odds for hilarious noises. I'd be interested to know how they did the translation.