5) All teachers taught. A heirarchy developed. People assigned different tasks. So what? That doesn't equal so he was sitting on his backside somewhere twiddling his thumbs.
Mostly he was praying and doing his own solo training, by all accounts.
During periods when he was physically present in Iwama, he probably was not teaching in Tokyo. No one has claimed that he had the ability to teleport...
There are plenty of modern examples of teachers with such heavy seminar schedules that they do very little teaching at their own dojos.