Google Play Game Services/Game Center or database service

I am currently working on a turn based style game-similar to the way words with friends works. I was planning on using a database service such as Parse or Stack mob. However I have recently been looking into Game center and Google's Game Services.

What are some of the benefits of using a database as a service such as parse or stack mob over using Game Center or Google Play's Game Services.

Source: http://gamedev.stackexchange.com/questions/60198/google-play-game-services-game-center-or-database-service

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