We didn't have a problem, Jeff. Sailed the Millennium in Nov. We actually ordered booze at Ft. Lauderdale port, went back at 3:30 pm and brought it on. I don;t think they're as strict as Carnival about this.
Instead of buying booze at the port and going back at 3:30 to pick it up, consider buying it onboard as soon as ship sails. The shop will let you buy and bring back to cabin, no problem. They will tell you "officially" it is not allowed, but if they turn their backs.... We did this last month on the Summit and found it to have great prices and very convenient.