Since this is the best hat in the game its a little weird that we still have no reskins for it and it doesn't really suit everyones style considering its specific design.
It would be easy to make this happen,
you can just make it so that once you would receive the default hat, you would just use it as an ingredient for crafting the reskinned version in the hat crafting tab and BOOM you have yourself a customized best hat in the game that fits your style.