I think more companies could do with having an intern or assistant to help handle these kinds of things. No, you don't want your $1K/hour CEO manually replying to 150 emails, but having someone who represents the company simply acknowledge your existence goes a long way towards good will.
It's the same with client relationships: we may be neck-deep in server fires at the moment, and know there's no way we'll be able to fix something today, let alone before the end of the week, but simply having someone reply "Yes, we'll handle this, and I'll take care of following up with the development team for you and get back with you shortly" goes a long, long way to putting a client at ease.
Yes, in so far as he needs to be that actor -to keep the creatives from having to context switch.-
To borrow Spolsky's yacht analogy, the captain has 40 people running around below deck to ensure that the engine keeps running, the beds get made, and the meals show up on time. You don't want your customers (your developers and your designers) to have to think about anything besides where they want to go and what to have for lunch.
But it'd be a pretty inefficient boat captain who tried to rebuild the engine and cook a 5-star meal at the same time.
> I think more companies could do with having an intern
Is this allowed in the US? In several European countries, legislation on interns is very strict: they need to have a specific project to work on, that is not part of the day-to-day functions of the host company. This is to stop companies depressing the wage market by using unprotected interns instead of salaried workers.
So you can take an intern to design and launch a new recruitment process, or other "project" work, but not just to offload recurring tasks.
You can't substitute a cheaper intern for a full time employee in the US for the same reasons you state. It's even questionable to have interns working on anything that adds to the bottom line of your business.
It's the same with client relationships: we may be neck-deep in server fires at the moment, and know there's no way we'll be able to fix something today, let alone before the end of the week, but simply having someone reply "Yes, we'll handle this, and I'll take care of following up with the development team for you and get back with you shortly" goes a long, long way to putting a client at ease.