Humans aren’t any better. That’s why we have OSHA etc. I think you’re hoping for a formal logic based AI and I’ll wager no such thing will ever exist - and if it do, it would try to kill us all.
We're different.
People have fairly consistent faults. LLMs are nondeterministic even in terms of how they fail. A high value human resource can be counted on to deliver. That, imho, is in fact one of the primary roles of good management: putting the right person in the appropriate position.
Process engineering has worked to date because both the human and mechanical components of a system fail in predictable ways and we can try to remedy that. This is the golden bug of the current crop of "AI".
Anyone who has encountered politics, psychopaths and narcissists knows that this isn’t always true.
One of the best thing about digital computers, compared to humans, was that they can't be the first or the third thing you mentioned; unfortunately, they absolutely are the second ("the machine does exactly what you told it to do, not what you want it to do"), and at inhuman speeds. Presumably, AI would (need, actually — Nick Bostrom puts a fairly reasonable argument for that in his "Superintelligence") fix that second bullet point, and then everything will be peachy.
Instead, we have people on the internet arguing that it's not a problem, since people too have this same problem. Which is a problem. But not a problem. Ugh.
Also, I think Nick makes the same point as me: AI will attempt to kill us.
Non-deterministic systems that work probabilistically are just superior in function to that, even if it makes us all deeply uncomfortable.