Data point: You can get both the AF version and the free version at the same time and on the same day.
This may not be true anymore. Got the AF version yesterday, but couldn't get the free version. They wouldn't even pull my credit.
Also, if you have the AF version / Platinum status, the deal for matching to Total Rewards and getting 2 free nights (plus $144 taxes total) at the Atlantis must be booked by 1/31 for a stay by 2/28.