No, they are totally unrelated. Web 3.0 is blockchain-backed web applications (rather than proprietary server-backed web applications, which is Web 2.0) and Software 3.0 is LLM-powered agents.
That does not describe Karpathy’s use of Software 3.0. He is referring to LLM agents with that term, which is agnostic to LLM model, whether third-party-hosted or self-hosted.