Well, sure, but the reason it is so easy for him to do satires of pop music is because pop music itself has no sense of humour and that is baked in its genes. Pop music, in recent decades at least, presents itself, or poses as, the melodramatic expression of the pain of the artist over lost love, or lost socks or whatever. It is often angry because that is also part of the mix. Pop music, "serious" pop music at least, is part of the progressive meme. It is for and about young people who are progressive, which means they are all caught up in their love-related melodramas, but angry about racism, sexism, speciesism and the difficulty of getting a decent latte in Boise, Idaho.
The roots of pop music are in the blues, which is pretty good at sardonic ("If it wasn't for bad luck, I wouldn't have no luck at all.") but not good at humour per se. Pop music, or rather the artists who produce it, take themselves terribly seriously. After all, they are a major cultural industry and are worth millions or billions of dollars. Nothing funny about that. They do not look at themselves and chuckle; they look at themselves and think, "hey, I'm a star!"
The music that really is humorous is Classical music. No, really!! By Classical music in this context I mean music of the Classical Era, from 1750 to about 1820 or so. Haydn, Mozart, Beethoven. Well, mostly Haydn. The reason is that Classical Era music has humour baked in its genes. The Classical style is based on opera buffa, comic opera, with its bumptious, bouncing accompaniments and jocular, festive themes. It's all funny. This is why, whereas a lot of Baroque music is in minor keys (Baroque music, except for that one piece by Marin Marais about a gall-bladder operation, isn't terribly funny), very little Classical Era music is. Out of some fifty symphonies by Mozart only two are in minor keys.
One of Haydn's quartets is even nicknamed "The Joke" because at the end of the last movement he does everything he can to fool the audience into clapping early:
Some of his jokes are for the musicians only, but others are for everyone. Just as a test, I played the last movement of Haydn's "Oxford" Symphony (No. 92) for a friend the other day. She has no particular knowledge of nor interest in Classical music, but she laughed all the way through. This music is so funny it is actually giddy: