So...it sounds to me like an aircraft manager spends a lot of time on the phone doing research and scheduling/coordinating things. Almost like a project manager....having things done to/for the airplane. And I imagine the larger the plane, the greater the workload.
What else?
Pretty much. The Director of Operations in a true corporate flight department doesn't do much flying. They're an office manager. They report to upper level management, be it an HR person, a VP or the CEO his/herself.
The complexity of the corporate flight department greatly depends on the amount of flying. There is a Hawker operator here that flies maybe 100-150 hours a year...if that. The only person that uses the airplane is the owner himself. No sales people, no clients, just him. His schedule is set months in advance, and he understands that if crew training or maintenance is due, he won't be using the airplane.
On the other hand, our operation doesn't work like that. We use any one of our 4 airplanes to fly all sorts of trips. Day trips with sales people to another regional office, VPs to submit proposals at the major east coast business centers, the bosses on their weekend get-aways. They "need" to go, regardless of whether one of us are sick, needs some time off, or is due for recurrent. We have to really watch the schedule to figure out how much time we have until the next inspection and how that will play in with the trips that are on the schedule. There are grace periods for maintenance intervals, and sometimes we have to use them. We have to shop around for contract pilots, sometimes at the VERY last minute. It's tough, and will sometimes make you want to pull your hair out. It doesn't help that we're trying to operate 2 jets with only 3 pilots on staff. Sometimes we're using just as many contract pilots as we are full time pilots to make the concurrent trips happen.
You'll run into owners that are micro-managers. They hire a professional (us) to manage their investment, but they don't want to relinquish "control" of the operation. They can get in their own way sometimes, and they don't even realize it. You tell them that, based on years of experience, it's better to operate in a way that varies from what they propose, but they don't want to hear it. That's a battle in and of itself, and one that is not easily won.