Claude Code seems more generous with its quota, which is why I use it as my main driver.
That said, Codex does seem more capable, terse, and faster. There are some tasks that Claude can't handle but Codex can. One example was a WinForms binding/project deserialization bug. Sorry, the code is a mess, so even I couldn't quite figure out which part was causing which problem.
I initially thought the bug would be difficult to reproduce in a unit-test setting. Claude could only narrow down the problem and tell me where to put a breakpoint. Codex, on the other hand, actually managed to create a reproducible unit test first, and then used that to fix the bug. That impressed me.
The only problem is the quota. Codex burns through it very, very quickly, even when I'm just using Terra 5.6 Medium. That's basically why Claude Code remains my main driver despite Codex seeming more capable.