My kid do want to go back to school. They were happy when they heard the school will start again and disappointed when it did not. To large extend, they want to be with friends again. To the rest of it, teacher is actually better teacher then us, they enjoy learning part in school more then in home.
It has nothing to do with what I remember about my school. It has to do with what they say to me now and what situation makes them happy.
From my point of view, the time home did taught them some things that were not present in school. But overall they were learning much less then when they went to school every day.