You have put your finger on the fundamental problem of the argument: Searle never gave a good justification for the tacit and question-begging premise that if the human operator did not understand the language, then nothing would (there is a second tacit premise at work here: that performing the room's task required something to understand the language. LLMs arguably suggest that the task could be performed without anything resembling a human's understanding of language.)
Searle's attempt to justify this premise (the 'human or nothing' one) against the so-called 'systems reply' is to have the operator memorize the book, so that the human is the whole system. Elsewhere [1] I have explained why I don't buy this.