The point here is not that it must have a body like ours, the point is that a conscious entity must have a boundary line between internal (the body) and external (everything else).
A virtual sense organ can simply be an encoder or a web camera or a magnetometer, the specifics don't matter, what matters is that there are only a few bridges between the outer world and the inner world.
Even if you want to call a tokenizer and autoencoder a "sense organ", LLMs are not embodied because there is no boundary line - there is no internal "thought" that is not directly descended from the prompt and there is no internal reasoning which is not immediately dumped into the external environment.
Related, is a human "thinking out loud" still thinking, even though the internal reasoning is "immediately dumped into the external environment"?