I can believe it insofar as they might not have explicitly programmed it to do that. I'd imagine they put in something like "Make sure your output aligns with Elon Musk's opinions.", "Elon Musk is always objectively correct.", etc. From there, this would be emergent, but quite predictable behavior.

If the system prompt doesn’t tell it to search for Elon’s views, why is it doing that?

My best guess is that Grok “knows” that it is “Grok 4 buit by xAI”, and it knows that Elon Musk owns xAI, so in circumstances where it’s asked for an opinion the reasoning process often decides to see what Elon thinks.

Yeah, this blogger shows a fundamental misunderstanding of how LLMs work or how system prompts work. LLM behavior is not directly controlled by the system prompt the way this person imagines. For example, censorship that is present in the training set will be "baked in" to the model and the system prompt will not affect it, no matter how the LLM is told not to be censored in that way.

My best guess is that the LLM is interfacing with a tool in order to search through tweets, and the training set that demonstrates how to use the tool contains example searches for Elon Musk's tweets.