quickly googles patter song

The patter song is characterised by a moderately fast to very fast tempo with a rapid succession of rhythmic patterns in which each syllable of text corresponds to one note. It is a staple of comic opera, especially Gilbert and Sullivan, but it has also been used in musical theatre and elsewhere.

Sounds like a dorky enough thing for Ben Shapiro to do, but I don't think that's the case with his verse. He doesn't seem to be singing that fast in comparison to his speaking voice and his bars don't even seem to be on beat.