These bans won't go any better than sites that refused to include advertising for the last two decades.
I don't like the "agentic web" any more than I liked the advertising-funded web, but that doesn't make me right. The web will continue to be less and less about human attention and more about LLMs using the web on our behalf. Advertising on the web will be useless, gobbled up by advertising on the LLM platforms.