There's a little bit of truth to the idea that NLU has been so successful because it's about Drake. Like, if this beef had been between Kendrick and, idunno, Joey Badass, I don't think nearly as many people outside of dedicated rap fans would ever end up paying attention to it (and that's setting aside that Kendrick's not gonna make NLU exactly as is in that situation, but you get what I'm saying.)
But that's not a compliment to Drake. Without years of people giving Drake the side-eye about his interactions with underage girls, Not Like Us wouldn't have the potency it does. So, yeah, the song being about Drake being a pedophile garners more attention than if the song was aimed at Benny the Butcher or whatever, but I don't know why Drake fans would gloat about that. It just kinda goes without saying.
And none of that has anything to do with the main thing: Kendrick's songs in all this are simply way better. Drake's audience is larger, so he should have had an easier time getting a hit record out of this, but he couldn't make it happen because he just didn't have the juice.