Yes, plus it could introduce of new forms of advertising in the conversation itself. Algorithmic product placement. It could get weird.

Conversational interfaces seem ideally suited to voice assistants. When you ask "hey google, what's the default password for my router?" does it make you sit through a 30 second ad before saying "the default password is password".

None of those would work with a chatGPT like search platform. Search ads work because they're largely indistinguishable from the organic content. You search google and get a million links, the first few are ads. The entire model of chatbots is completely different. So the only truly effective way to advertise on a chatbot is to make the response itself into the ad. But would people use such a service, or would they move to another one that just uses banner ads which monetize at much lower rates? If chatbots completely replace the current search ecosystem Google will be forced to either lose huge market share or make much less money per search.

Well, those are ways you could try to do it, but whether they would "work" (attract click-thrus, not alienate users) is another question.