All the other responses are correct, but as I've said on this board before, one of the most simple ways to think about it is this: if it's the production is a revival of an already-existing work, then it will be considered a revival. Whether or not it's been on Broadway before is essentially irrelevant. The same was true for all of these shows:
Little Shop of Horrors (2003)
Assassins (2004)
Twelve Angry Men (2004)
Reckless (2004)
Sight Unseen (2004)
Steel Magnolia's (2005)
Top Girls (200
A Life in the Theatre (2010)
Driving Miss Daisy (2010)
The Road to Mecca (2010)
The Normal Heart (2011)
Don't Dress For Dinner (2012)
Wit (2012)
Orphans (2013)
Cinderella (2013)
Lady Day (2014)
The Cripple of Inishmaan (2014)
Violet (2014)
Hedwig and the Angry Inch (2014)
This is Our Youth (2014)
Fool For Love (2015)
Dames at Sea (2015)
Sylvia (2015)