> Some times one will spin for a long time on certain problems where the other has no problem finding the appropriate parts of the codebase and getting an efficient solution.

Surely this is just to the random nature of these stochastic parrots?

Do you mean you have identified a class of problems Claude always stalls on and another class of problems Codex always stalls on? What identifies these different classes of problems you see? How would you say Claude is stronger than Codex and vice versa? Why?