If the president is at Level 7 then it is an utter failure of their administration. Whatever the president's busy level is, it needs to be something that can be kept up with for years at a time without breaking down. They've got whole branches of government at their disposal to delegate tasks. I'd imagine the president's staffers try and keep it at or below a 4 90% of the time.
I'm saying people fall into the "busy" trap. There are presidents who are level 7 and accomplish nothing. There are presidents who are level 2-4 and accomplish a lot. Eisenhower comes to mind. He was pretty famous for his philosophy and methodology on this while willing to "do nothing". He accomplished plenty without the need of constant human intervention.