The reason a lot of people are unhappy about this notion is that it doesn't really matter: Any Turing complete system can emulate any other Turing complete system, and an LLM can trivially be made to execute a Turing machine if you put a loop around it, which means that unless you can find evidence humans exceed Turing computability AGI is "just" a question of scaling and training.
It could still turn out to be intractable without a better architecture, but the notion that it might not be impossible makes a lot of people very upset, and the only way it can be impossible even for just an LLM with a loop bolted on is if human brains can compute functions outside the Turing computable set.