Not unimportant matters obviously, but not as important as: Did the students learn anything in the lesson, and if so what?
I understand what you are talking about. At the private school last year ( I don't work there any more) I was inspected by a similar person, who happened to be a member of the stuff (metodyk). Such methods are outdated and they contribute nothing to improving the learning process. From what I understand, such inspectors are there to make sure the teacher has a whip. I am not fond of such methods, so I am no longer working there. The funniest comment I heard was: is that how you pronounce that word in Canada? lol I don't have to mention that she was not interested if students learnt anything.
Oh,besides. It is a good job post;).