It's kind of cool that we can make mathematical arguments for this, but the idea that generative models can function as universal automation is a fiction mostly being pushed by non-technical business and finance people, and it's a good demonstration of how we've let such people drive the priorities of technological development and adoption for far too long
A common argument I see folks make is that humans are fallible too. Yes, no shit. No automation even close to as fallible as a human at its task could function as an automation. When we automate, we remove human accountability and human versatility from the equation entirely, and can scale the error accumulation far beyond human capability. Thus, an automation that actually works needs drastically superhuman reliability, which is why functioning automations are usually narrow-domain machines