"Claude" is a big program that wraps a coding agent around a specific model. It would be the specific model that "stands up to you". I post this pedantry only because it may be helpful to you to realize this for other reasons.
Oh I definitely understand that but if you talk to any of those models through the chat interface, they'll speak as if they're one. I once asked it a question about "Which model was I talking to when I asked this?" because it can look back at previous conversations and it answer questions about them. It's answer was "You were talking to me, Claude." then proceeded to basically explain what you're saying. For what it's worth, I've been a developer and working with LLMs for the better part of the last 5 years or so. I'm no expert and I appreciate the clarification for anyone who may not be aware!
I'll say though, I haven't tried the weakest model of Anthropic's but Opus and Sonnet will both push back more than I've seen another LLM do so. GPT was always trying to please me and Gemini was goofy. I'm surprised Gemini was the one that pushed back honestly!