As an example, imagine a really small community maintaining a small site/wiki/cms/forum that has the ultimate goal of promoting human relationships around a common interest (let's say retro computing as an example, but it could be anything). There are many many many such communities on the internet.
It's very improbable you will specifically instruct your LLM to access their site, it's way more probable it will happen without you even knowing, as a result of you doing some /deep-research or something. And not only that, but your LLM will probably spawn a ton of agents to gather as much information as possible in as little time as possible. A torrent of requests will go at this community's site, effectively killing it. They are a small community, they use their spare time and money to maintain something to serve them, they don't have the resources to serve your LLM and until you showed up they probably never even had to think about Cloudflare. They are certainly not against you getting the content, but they don't want you causing them issues either and you just did.
End result? Your LLM (effectively you) DoSed a small community's site. You caused harm. Could you have caused similar harm if you were doing it on your own? Sure. But you would have done it on purpose, not accidentally while instructing your LLM to do something else.
This isn't a made up story, it has happened already more than 1 times.
So the question is, now that you know your LLM can cause harm without you even knowing it, how does this change your stance?