Jon S. is right about there being various categories of cringe-inducing lyrics. My first nominee would fall into the earnest but embarrassing category. This one, from the chorus of the 1967 Turtles hit “Happy Together,” falls into the simply dumb category:

So happy together

How is the weather?

Huh?! This was obviously just filling the need for another line that
would rhyme with together. The weather has nothing to do with the
song. I cringe every time I hear it.