I think I will go back to the dish soap for a few more days until my lips are more healed. Then I will start on the cream again. I must tell you I was out all day the other day wearing lipstick when I used dish soap and I did not have to wipe any white gunk off my lips even once. my lips are feeling moist (moist, raw lip skin) again with cream so I will wait a little while to use it again.
My lips are more moist than dry most of the time. I don't know if other people's lips are more dry than moist. So different treatments might work better for some. I am not ruling out the cream, though.