Another concern is monetarization - even if I have more users on facebook, would I be able to earn similar amounts of money per user as with my own website?
I also wanted to get out of the dependency on big corporations. So far most things I did were dependent on somebody controlling the market. With mobile games, there was the dependency on the mobile phone carriers and established games vendors, for example. Overall I was unhappy with that situation.
I haven't made the decision yet, because I only thought about the facebook aspect today.
Even if you don't get the same monetization, you're going to be able to get a lot more users by building into the biggest existing social network than having them switch/use a new one.
Even if you made 1/10th the amount of money, if you can get 10 times the users then you're still good.
Why compete with Facebook head on when you can use their market share as an advantage?