I think Codex is a better fit for professional software engineers. It's able to one-shot larger, more complex tasks than Claude and also does better context management which is really important in a large codebase.
On the other hand, I think Claude is more friendly/readable and also still better at producing out-of-the-box nice looking frontend.
Context management is one area where I’ve found Codex is a lot better than Claude. Sessions last forever without degrading. Codex doesn’t forget things that Claude drops from context.