My pots are mostly glazed, but I have one yixing pot.

The yixing just gets rinsed with hot water and air-dried.

The glazed ones can go either way. The oils in some teas can persist on the
interior surface and take a lot of rubbing to remove without using a soap or
detergent. Depends on my mood whether I use soap or not. Haven't had a bad
soap-taste issue.

I guess I could just lightly rinse, but the slimy residue bothers me. Baking
soda/salt does seem a better alternative to soaps.

BTW, I brew mostly greens and oolongs. Perhaps black teas rinse cleanly.

Joe