Metzora - Care That We Clean The House

When there is Tzaraas upon a house, the Torah says one should clean out all their possessions before the Kohen inspects it. Chazal explain this is to protect the owner, out of sensitivity for him losing unkasherable vessels when they become Tamei. Why does the Torah show such sensitivity to one who deserves a public punishment, and what can we learn from it?Have a good Shabbos