It's extremely rare that you can compel a company to provide a service. The main exceptions are public services (e.g., libraries), utilities (e.g., power), and protected classes (e.g., you can't legally make a business that only serves white people in the US). While I could definitely understand the argument that many tech companies provide services central to our lives and the scope of what is considered a utility today should be vastly expanded, saying this should include access to a particular LLM seems like one hell of a stretch to me.
I don't think people are worried about losing access to a particular LLM. They are worried about losing access to Gmail, google docs, google photos, their phone, google cloud just because of a test in an unrelated product that happens to share the same account.