If my agent(s) can't find you or are locked out of finding out what you have on offer; then I will never hear of you; and it's unlikely that we're going to be doing business.
Note that a lot of people use chatgpt or gemini instead of google search or ddg to interact with the web these days; simply because the search engines have stopped being as useful. So agents might be the only way you'll be getting found in a couple of years.
While there's definitely some truth to this for Google (I haven't noticed with DDG), it clearly isn't the only reason. The moment Google shoehorned Gemini into the top of search results, that was enough for a lot of people to say "good enough". Because laziness and susceptibility to convenience are very real things.
AI agents although autonomous aren't deterministic unlike compilers.
Now humans are also not deterministic and are autonomous in the human context but they have a lot to lose and can own outcome and can be held responsible unlike AI agents or their parent companies.
Unless a company is willing to guarantee outcome and bear with the losses, no one will trust AI agents for shopping and banking apps and full root access to personal mobile phones.