I'm in New England. The sheer number of students and the percentage of them who have inadequate Winter clothing and food would make the strategy impossible to implement as a one size fits all approach.
A quick search shows that my school district has 10,479 students. The number of students on free or reduced price lunch is a good indicator of access to adequate Winter clothing as well. We have 44% of the students on free or reduced price lunch. To implement a strategy of windows open or outdoor classrooms, we would have to account for 4,610 students' Winter clothing needs for temperatures ranging from 0F-55F.
Some communities have much higher percentages of students on free and reduced price lunch. A quick look at a neighbor city 15 minutes' drive to the north shows 95% on free or reduced price lunch.
Districts less affected by poverty could probably implement an outdoor or windows open strategy. But a mountain of logistics exist in trying to implement in communities like mine. Unfortunately, in our county, communities like mine are the norm.