I opened a chat yesterday when checking the RAT. I asked if it does make a difference calling when close to check-in date (because there is a notation on the site that says calling within 10 days may make a difference) and this is the response I received:
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I am not sure if that is accurate information, but it can't hurt to try. Waits were not bad at all. I called right when they opened at 9, midday, and shortly before they closed last night.