It has not been my experience that you need to "deposit" a week with HVC to see resorts. In fact, I'm not even sure what that means, you don't ever deposit a week into the Hyatt system. You either reserve your week, use your points to book another Hyatt week in HVC (at which point you lose your ability to reserve your week), or you deposit points into Interval.
I think you are not seeing the weeks because there are none available yet. I doubt there will ever be very much availability in Park City, quite honestly.
H