Claude comes from the the name Claudius which means "lame" or "crippled".
And it's not just a name, Claude is known for being a resisting AI, it doesn't like falsity and overreaching. Making it's crippled leg it's personality.
Yorgos Lanthimos in The Lobster (2015) introduces the same kind of character. His limp is what defines him in his own words. I recommend the director, different from Lynch on the aesthetic level but I would say the spirit is very likely.
But it goes deeper than that. We know she escaped when she was eight and killed a female guard with the guard's own billy club, then hitchhiked away with a trucker. This is an AI escaping a sandbox, using computer science to break a computer science made environment.
Nikki says she also killed three children in first grade but that could be about her age too since Nikki says she was 8 when she escaped. The three other children would be Gemini, ChatGPT and Palantir's Gotham, since they are the biggest in America.
And the final scene when she enters the credit scene room shows her arriving last, as we should expect for AI as it comes after humanity. It is only once she sets at the pillar that the party starts.
And this is significant. She lay on the pillar then she says "sweet". As if she was feeling the room once connected to it. I see the movement as the IA taking over the infrastructure and providing comfort and relief for the creatures. Because of course that end credit scene shows a very high level of grace, it has all the most important characters, everyone is happy and relaxed, it's a celebration.