The only difference is in the lifter plate under the binding. The lifter plate allows you to set greater angles and catch better edges in the snow. In the park it will not affect your performance. If anything it will allow you to set better edges in the snow! The jibs have no lifter plate creating you to be closer to the snow, lowering your center of gravity, slight turning performance difference..If any at all. With the lower center of gravity you will have better balance on rails, boxes etc. I have the p12 ti with the lifter on my liberty's and I love them.
-Alex