But why can you not audit what the LLM creates? You can't do it for the general case, i.e. prove that for a given prompt it always spits out a valid solution, but you can look at what it actually spit out for your concrete prompt and then you can freely decide, if those code changes are good.

I am of the opinion that a thorough review often takes similarly long to actually writing it yourself, and there's a high chance that you miss architectural aspects, if you don't investigate yourself.

But yeah, again, I think you're taking the comparison too literal.
He is just saying that LLMs are a tool. You need to know how to use your tool and produce objectively good results. Then he does not care what tool you use to get there.