"Bad husband" songs, on the other hand, are NOT funny, by and large. In fact, I can't think of any "bad husband" songs that are funny

I've a feeling that Kytrad could come up with a couple dozen of these if she tried.

I can think of "JOHN GRUMLIE / FATHER GRUMBLE / EQUINOXIAL / LITTLE PHOEBE" which seems to go back to the Bannatyne MS (1568) as THE WIFE OF AUCHTERMUCHTY

There are many 'foolish old man married to young wife' songs/variants. He is always considered silly; cuckold or not, it's his own fault.

I'll think a bit on more.