Here, then, the complete review:
Are there one or more play areas? There are more than one, although I can't know for sure how many.
Is there one in every terminal, after passport control? unknown
Is the play area conveniently located? It can be a bit of a hike to the play areas, but not overly terrible. The layout of the gates is more confusing than anything else; sometimes things are not as far away as they seem, due to some shortcut hallways.
Is there information about the play areas available online? there are some maps on the website, but they are only in Chinese.
Are maps clearly labeled to make finding the play areas easy? yes
Are there one or more nursing areas? yes, near gate 25.
Overall, we experienced 2 different play areas. A few photos of the first one here...
And, on our way back out of the country, the second play area that we found: Not too shabby!