Of course the model doesn't know what model it is, hence Claude pretending to be deepseek. But whether they got that training content by proxy from the Chinese internet, or distilled directly from the model would not seem to matter for this law.

That's exactly how it works.

Anthropic says that if a model says they are an Anthropic model, that's it, it's distilled from Anthropic. They even use that as a "proof" DeepSeek is distilling their models.

Or do you want to say the Anthropic PR department is a bunch of liars and scammers?