web 1.0 was extremely decentralized. And now that everyone has fast connections everyone can easily host web 1.0 sites by installing nginx and putting html and files in directories and forwarding port 80 from their router. It's extremely low risk, no maintaince, low resource usage, and completely distributed. And it's okay if you shut down your computer and the webserver for days or weeks. Being up all the time is only a commercial requirement.

I think a real 'web0' like they're talking would be re-implementing Opera's good idea of integrating a working webserver that started up when you started your browser. Opera operated as a proxy for those hosted websites but that need not be the case.