untrue, a complication is still a complication even if you have people who are skilled enough that dealing with it isn't an issue.
I just...I don't buy this. I don't.
A "complication" means that things...got complicated. An event or an object or an action which
actually IS a problem.
With the competent person at the helm...that "actually IS a problem" doesn't happen--or, at least, it happens very rarely. Conversely, things that would have been irrelevant or even genuinely unnoticeable with the competent person become significant hurdles with an incompetent (or even merely not-very-competent) person.
And contra
@Maxperson this applies to all sorts of things. An inept lock-picker strains their picks more, has to spend more attention on the lock itself, has to explore longer, etc., etc., etc. All of those things
directly contribute to whether the cook, at some point during the lock-picking process, happens to be near to that door. Sure, they don't literally TELEPORT her to that door. That would be stupid! But it's a known--indeed,
realistic--situation that the cook in a chateau's kitchen is going to walk around a lot, and is probably going to walk past an exterior door at least some of the time. Being incompetent at picking locks
directly contributes to the possibility of being discovered by said cook while you are doing the picking.
I could come up with a dozen examples. Surgery: a competent surgeon can foresee potential complications and ensure they never actually
become complications. Police officer: A competent officer prevents as many potential complications from becoming actual complications as she can, maintaining equipment, understanding procedure, being well-informed, being cautious, etc., etc. Lawyer: you make ferdamsher you've got the case law down inside and out, you do your due diligence in discovery, etc., etc.
Nearly every actual
skill a person can develop has this sort of thing. You learn to simply negate
potential complications as much as possible, so that things,
usually, run smoothly. And that means that your competency affects both the frequency and the nature of the kinds of complications that
actually DO happen.
Theoretical complications are irrelevant. The reason we involve dice is to tell us when
actual complications happen.