I 'cured' mine recently. Good moisturisers help but I've never found the right one and I've tried hundreds. all permutations of AHA, BHA, urea etc with no luck. I'd see some improvement but it was always still there and waiting to come back.
Then I had a patient with very scaly feet (VERY!) who had an unopened tub of foot cream that I slapped on her feet for her and skimmed the ingredients list to see what was in it. I'm always on the look out for a cure. Next day her feet were amazingly 99% improved.
I searched online for the cream...mind you, it's for feet and it's smelly in an old lady perfumed way but I got some, braved the smell and tried it. Putting a little on every second day and my skin is virtually perfect.
I can't guarantee it'll work for everyone, KP does seem to a individual thing as far as treatment.
What was the cream I hear you all ask? Well if you send me a check for $25 I'll tell you...
K, only joking

It was
THIS. Sounds like an odd treatment, smells odd but a miracle cure for me!