GP's point is that buring something down is
by definition something that requires a specific physical process. It's not obvious that thinking is the same. So when someone says something like "just as a simulation of fire isn't the same as an actual fire (in a very important way!), a simulation of thinking isn't the same as actual thinking" they're arguing circularly, having already accepted their conclusion that both acts necessarily require a specific physical process. Daniel Dennett called this sort of argument an "intuition pump", which relies on a misleading but intuitive analogy to get you to accept an otherwise-difficult-to-prove conclusion.
To be fair to Searle, I don't think he advanced this as an agument, but more of an illustration of his belief that thinking was indeed a physical process specific to brains.