Should unvaccinated K-12 students who are close contacts of a COVID-positive classmate be sent home to quarantine even if they test negative for the virus?

Should unvaccinated K‑12 students who are close contacts of a COVID-positive classmate be sent home to quarantine even if they test negative for the virus? Published on January 13, 2022 → Survey conducted on January 13, 2022 on 4738 U.S. adults