There is a major difference between the version of the game on Amazon and the one in the Android Market. It would appear that the caption is telling us that Amazon will retain the exclusive rights to the ad free version of Angry Birds Rio while the Android Market version will be supported by ads.
The caption notes that the Amazon version of the game is free for a limited time, so you can download the game for free from both markets. But once that limited time expires, those who want an ad-free version of the game will have to pay Amazon while those who would rather sit through an advertisement instead of paying for the game can do so through the Android Market.
source: Facebook via AndroidGuys