I guess you're right. From a quick search:
From 2001, a (gasp!) shortage of baby back ribs:
http://www.spcnetwork.com/mii/2001/010369.htm
More recent, the difference between American and Danish baby back ribs:
http://www.bbqgeneral.com/archives/2006/03/danish_baby_bac.htm
Credit my wife with finding that out.