I knew the context for the first; indeed (as you say), the context is explained before the song is sung. Because of that, I'm able to write off the potential offensiveness.

I did not know the context for the second song, but the outdated ethnic references came so fast and furious, I couldn't believe that offense could have been intended.

But that last one is inexcusable. Once upon a time, "Ann Landers" printed a couplet from a reader:

An egg, a horse, a wife are three
The more you beat 'em, the better they be

The writer offered to let "Ann" print his address, but she refused, predicting an avalanche of hate-mail. And sure enough, she got it.

Some attitudes are never "quaint".