That’s not how it works. The training material in Chinese is more likely to mention DeepSeek. LLMs are not aware what model they are.
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?