That's at the state level. But that doesn't account for the explosion in admin salaries and positions. The actual money a district spends on each student has been going down every year. Those funds are going more towards admin activities.
> I got ahold of all the teachers I knew and asked them what impact it would have, and their response was mostly that they would lose their school lunch benefits.
Teachers have a very poor understanding of where their funding comes from. Most just assume "property taxes", but it's far more complicated than that. The department of Ed provides a lot of funding to states that is passed through to the schools. They also enforce the education titles.
Cutting the department of Ed may not have a direct, immediate impact on classroom teachers, but it will have a large downstream effect in a few years.