There are 2 levels of determinism that matter here IMO. Level 1, given the same input you get the same output. Level 2, you know what to change on the input to get a specific change on the output.
LLMs are currently capable of level 1, but not capable of level 2. Trust follows what is actually deterministic.
Trust should, but instead is being gulled by those incapable LLMs. And I don't see that changing, given the typical human's seemingly unlimited vulnerability to this con.