I've taught in both the US and Korea, Korea's curriculum is extremely rote-memorization based, which (as that article says) is the opposite direction of common core.
I think common core in general was rolled out without much data to support it being the better system, and around the time it was rolled out a lot of states were rolling out ways to tie standardized testing to teacher evaluations (which, as a teacher, I think sounds great on paper, but when you suddenly introduce a new way of learning (and teaching), give it a decade or two for people to get used to), which usually effects bonuses.
I'm all for a common curriculum, but I think the roll out was what led the left, right, and lots of people in general to despise it.