Rather than "managerial" I tend to view it as more "professorial". Maybe it's my academic training (but I got out before I became a professor), but I tend to like to think about my problems in terms of abstractions and invariants and common ways to represent things. I just now describe them in English rather than code. But I do find that LLMs do a much better job the more clearly and completely I express what's in my head. I get that same satisfaction that you mention, but now it's when the LLM does what I want on the first try rather than fighting with it all day.

In the past when my junior engineers were fighting with a bug all week, I always told them the dopamine hit of solving the bug is what keeps you coming back to work for 20 years. Half joking, but the dopamine hit of from the satisfaction getting complex working software in a weekend is like crack to me, we'll see how that plays out long term :)