Interesting. In my experience, it's the opposite. Claude is too syncophantic. If you tell it that it was wrong, it will just accept your word at face value. If I give a problem to both Claude and Gemini, their responses differ and I ask Claude why Gemini has a different response - Claude will just roll over and tell me that Gemini's response was perfect and that it messed up.

This is why I was really taken by Gemini 2.0/2.5 when it first came out - it was the first model that really pushed back at you. It would even tell me that it wanted x additional information to continue onwards, unprompted. Sadly, as Google has neutered 2.5 over the last few months, its independent streak has also gone away, and its only slightly more individualistic than Claude/OpenAI's models.