And when you trust something it reduces the cognitive load because you don't have to build a mental model of the different ways it could be deceiving you and how to handle it.
Which is why for me at least when I use LLMs I find them useful but stressful.
Everything you said applies to regular search engines too. There's always a cognitive load in using them. Often the load is less with an LLM. Other times it's not.
Can't use either of these tools for all problems. Pick the right tool for the right problem.
A lot of people appear to find this hurdle almost impossible to overcome.