For any pro session, including that kind of simplistic poppy stuff, show up with good P bass*. If you don't have one, then a Jazz, but better yet borrow or rent a good P as well. Then bring a few other options and make sure at least one bass has flats. Having one "vibey" shortscale, or hollowbody or whatever is always a good idea--a Longhorn, Hofner, whatever. You want to be able to quickly deliver some classic sounds, but also have something modern and something "quirky" up your sleeve. Unless you know exactly what you're in for, never show up with just one bass (and while some basses CAN get a variety of sounds, they're always just an approximation--sure my L2500 can sorta kinda do a p-bass sound, but it's just close and doesn't sit in the mix the same way---and the time it could take to dial it in to everyone's liking just wouldn't cut it in a pro session). Personally, I do bring a five string too in addition to 4 or 5 four-bangers, but it hasn't gotten used on anything in a while (on pop, rock, hip hop, rnb, etc. sessions).
*but I don't believe that it HAS to say Fender on the headstock. I agree you won't get any grief walking in with a nice Lakland, Lull, etc. It just needs to be that classic design, and sound like it.