So a link from June 2020. The CBS news link I posted post-dates it, and contradicts it.
Edit: actually, it doesn't even contradict it, per se. The articles are saying the same thing, but the WaPo story just tries to generalize from a single school, without admitting it. FTA:
> At Hoyonomori Gakuen, a school in Tokyo’s Shinagawa ward, the new rules, including temperature checks, are set down in a 28-point plan designed by the school to minimize risks.
So, again, the schools determine their response. This is also my understanding of the situation.