Not sure but if you show them your KTTW card they can check the system and see what resort you're registered as staying at. I say check the system because your KTTW card doesn't have where you're staying at in 'print' on the card. The little magnetic strip on the back of the card does that.
On the subject of hot tubs, it would be nice to have one at the Poly but I've never wanted to use one. The volcano pool is just too inviting for me.