Is there anything more refreshing than a nice cold root beer? AANDW (also known as A&W) is a reasonable example of a root beer, certainly. The revealer describes the theme answers, two word phrases with the initials AW. I'm most impressed by the two 15-letter answers intersecting in the middle. I'm familiar with ABIGAILWILLIAMS, having read a wonderful history of the Salem witch trials recently (The Witches, by Stacy Schiff). I have no complaints with any of the other answers, though, so that's pretty good.
It's a large amount of theme material (69 squares), so you might expect there to be tradeoffs in the fill. But I really liked the NE and SW corners. ONEALARM feels a bit made up (we'll all agree there is such a thing as a three-alarm chili, but I don't think it generalizes in the other direction), but it is amusing that it crosses AFIRE.
STLEOI is a classic crossword escape clause. What a collection of otherwise unparsable letters. OKNOW fares slightly better. And I can't exactly excuse NAY and NAW being in the same puzzle, both clued as a negative. Oh, yeah! And IMAGER. I hate that kind of answer.
All right, so there was a fair amount of POOR fill. AFTA, DASANI, TAHOE, CAMRY. That's a lot of branding.
Maybe the best moment was thinking of a RASTA and a WICCA standing next to each other.
No grade for 1A (theme material); and my first confident answer was WAN.
P.S. I saw that statue on my recent visit to the Louvre.