Pretty much all the Greek philosophers grew up in a world where the classical element model was widely accepted, yet they had reasoning skills that led them to develop theories of atomism, and measure the circumference of the earth. It'd be difficult to argue they were less capable than modern people who grew up learning the ideas they originated either.
It doesn't seem impossible that models might also be able to learn reasoning beyond the limits of their training set.
I mean they came up with it then very slowly, they would quickly have to learn everything modern if they wanted to compete...
Kind of a version of you don't have to run faster than the bear, you just have to run faster than the person beside you.
Greek philosophers came up with vastly more wildly incorrect theories than correct ones.
When you only celebrate success simply coming up with more ideas makes things look better, but when you look at the full body of work you find logic based on incorrect assumptions results in nonsense.