A couple things…
Not Like Us was pretty much the biggest song of 2024, and just won Record of the Year at the Grammy’s a week ago. It’s still a little inside baseball for the general public because there’s so much other stuff that’s also part of it - notably, that he is blood enemies with Drake and the entire song is Kendrick calling Drake a pedophile. Drake sued so that he wouldn’t play that song, and he did it anyway. There’s a ton of backstory related to it that people who follow hip hop know well, but it might not have been obvious to someone on the broadcast.
I think his most recognizable songs (other than Not Like Us) are from earlier in the catalog - ADHD, Bitch Don’t Kill My Vibe, Money Trees, Swimming Pools, and then King Kunta and Alright. He was pretty clear that he was only doing new stuff for this halftime show, which I think resulted in him not playing some of his most recognizable songs.
Kendrick is socially aware and very political. Seems like they tried to balance it, but if you know what you’re looking for, the politics inherent in his whole deal last night were very apparent. See also: the dancer who got tackled for pulling out a Palestinian flag that he had hidden in his costume. It’s all part of the deal, and a reason why I was a little surprised that the most establishment and sanitized music event of the year - the Super Bowl halftime show - picked him.
I personally like the subversive aspect and the challenging aspect of what he consistently brings to the table, including last night. But it’s not for everybody. It’d be like having Chappell Roan up there in drag makeup and singing her songs about having sex with another woman. I’d respect the balls to put your challenging artistry on display in front of the entire globe, but would be an unusual pick for the Super Bowl halftime show.