I think #5 is wrong. 2048 is based on numbers but has very little to do with math--you can play the game just as easily using only colors. At best students are learning the powers of two, and at worst they're wasting time they should've spent on chess or checkers, or basketball.
It's more than that if you take moment to think about strategy and how many tiles and turns you need to make progress. It can be a very nice case-study in exponentiation/logarithm, big-O, etc
Didn't mean to make that claim, but I'd guess that chess is better for cognitive development because its demands on working memory are limitless. This is speculative, but it's also speculative to claim that 2048 is any better for learning than Candy Crush.
