This is typical of software developers trying to interpret law. Can you imagine someone explaining to a judge that they are suing for a breach of license terms under the circumstances. "So, you are saying he did not give himself access to the code on his laptop?"
Even if that nonsense was correct, there is a dead easy workaround. Run a server with the code on it bound to localhost and you then have your network server for all users interacting with the code (yourself!). Not needed, just an additional layer of proof the claim "it is impossible to comply" is false.
Edit: to add, I am also not impressed by the author's other blog posts, such as a moan about not having PRs for FOSS projects accepted for good reasons (if you dig down into it). Lots of other complaining and nonsense too.