How many critical “parental decisions” have you made in the past week? Probably very few (if any), but surely you did a lot of reinforcement of prior decisions that had already been made, enforcing rules that were already set, making sure things that were scheduled were completed, etc.
Important jobs don’t always mean constantly making important decisions. Following through and executing on things after they’re decided is the hard part.
See also: diet and exercise
This is hard to automatize.
Sneers aside, I think one common mis-assumption is that the difficulty of automating a task depends on how difficult it feels to humans. My hinge is that it mostly depends on the availability of training data. That would mean that all the public-facing aspects of being a CEO should by definition be easy to automate, while all the non-public stuff (also a pretty important part of being a CEO, I'd assume) should be hard.