I'm Discoverist, and have stayed here 4 separate times on paid stays since it's opened, always booked Club room and have never been upgraded. My Hyatt status is always acknowledged, and at check in I'm generally presented with the option of an upgrade* at 'a price'. That price usually starts out at $100 per night and as I decline, goes down to around $60-70 per night (this would be an upgrade to the Turquoize Tower). I travel solo and the price is based on one person for the upgrade. Thus I don't think your chances of an upgrade on an award booking are very good. But others may have had different experiences.
(*FYI, I've never been offered any type of upgrade within the Club Tower due to status, but always received the general room I've paid for.)