Even though 'provably fair shuffling' != provably fair,
That is true, but as I said: if you implement this it is impossible for you to deal yourself a Royal Flush
and get away with it. People would quickly look up the hashes and see that they don't match and know that you tampered with the shuffling. Of course at that moment everyone lost their money already but at least it is proven that it was rigged.
Right now you can deal anyone whatever you like and nobody will know.