I am the Master of Puppets
No, in all seriousness, I think a well structured division of labor is the ideal situation. With that being said, it can be rewarding to get your hands dirty or to learn things that you never thought you'd have to learn. Being able to do the little things helps gain the respect of your staff and being able to speak intelligently about something that you are outsourcing is extremely helpful in getting the results you want out of a project that you outsource. The best way to be able to speak intelligently about something is usually to have at least some hands on experience.
On a semi-related note, I knew a girl that worked at Babbo, Mario Batali's restaurant on 8th, and she said that whenever he was in town, it wasn't uncommon for him to jump onto a station or even pick up a piece of garbage on the ground and throw it away. Seems trivial, but chefs tend to be a highly egocentric bunch and doing things like that are practically unheard of in NYC. But it sets a tone of accountability and makes people want to work for him. That's the way to go.
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