Welcome to Health Care Magic
I have gone through your query.
The white patches on your pinky toe are nothing but corns. Corns are whitish and translucent .
You have recurrent corns.
Though you have used corn removing ointment ( Most preparations coontain salicylic acid
and lactic acid or Trichloro Acetic acid
), it may not be effective as long as the frictional force persists in that area.
Most common causes of corn on pinky toe is due to ill fitting or tight shoes. Due to the friction between the shoe and the skin the corns tend to recur. Unless the stressor is avoided the corns are not going to subside
So i would recommend you to please change your shoe size or avoid using them for a while.
If it does not disappear even then , you might have to get it removed surgically ( which is often not required). Dont worry about the surgery . It is a very small surgery and it doesnt hurt you much.
Wish you a healthy life