The thing is, it's "randomly" determined before you press shuffle, not after. The illusion is then broken. Also, there is no way to reset this determination once made. I don't have to spend the points and I already know what the game is going to chose for me.
A better implementation would be to get rid of the card choice all together and just shoot the determined item to the person rather than give a card choice. At the moment, the only cards that re-randomize are the ones that are already determined as not picked.
If you wish to maintain the illusion of choice, remove the shuffle function all together and just show the backs of 5 cards as you do in Heaven's Palace and Boss Fights.




