Guess we all have different experiences when it comes to teachers.
In my younger days I took violin lessons and now piano lessons. A piece that isn't very long (up to 3 pages) the teacher would work on it for up to 3 weeks. It's rare for a teacher to focus on just 1 piece for longer unless it's going to be performed in a recital.
There are a lot of nuances I wouldn't pick up right away. The first time it's mainly learning the notes and try to count correctly. Next fix the dynamics & phrasing. Gradually bring a piece closer to the ideal tempo.
Whether we get every little thing, after a few weeks we'd move to the next piece and return to that piece at a later time. There are always 2 and sometimes 3 pieces the teacher would work on at the same time.