You are claiming that there is some sort of mathematical proof that this AI has no "worth"? There are a lot of people who are finding value from probabilistic generative AI, to the extent that they are willing to pay OpenAI $20/month to get access to the best model available, so I think that counteracts whatever sort of mathematical proof you might make.
It's true that crypto has a lot of users too, but I think the difference is that these users are mostly being deceived into thinking that their involvement in crypto will make them rich in the future, when it will not. AI is giving people immediate value instead of making promises of future wealth.
There are several very obvious uses for ChatGPT. Almost everyone I've seen use it can think of something they want to use it for.
I've never had someone give me a plausible usecase for blockchains or crypto currencies. Once you push on the usecases I have heard it quickly devolves into "you just don't get it" or some kind of appeal to authority like "well all the VCs wouldn't be investing in it if it wasn't valuable, clearly they're smarter than you."
