You are simply incorrect. It is not a fallacy of that type, or any other type, because the words do, in fact, mean the same thing, as multiple people have pointed out here. Whether referring to chatbots or people, "prompt" means "to move to action".
If you have some reliable source supporting your unilateral claims that "prompt" does not mean this, please share. Otherwise, the consensus seems to be contrary to your claims.
Why do I need a source? An LLM prompt does not "move to action", because an LLM does not act. People act, animals act, software doesn't act. Acting implies volition and volition implies cognition and if you think that LLMs have those things then you're the one who should provide a source for your claim.