nabla: I wouldn't say that the rules are wrong for Mancala - if there's anything wrong, it would be the name, as Mancala stands for a large family of 'seeding games'. There are probably as many mancala variants as there are chess variants - although in mancala it's not variants of a specific game.

Given the large number of rules (i.e. different amount of pods, different amount of seeds, different rules for reaping, etc), you cannot call it wrong. Although I don't think anyone has found the exact game whose rules are implemented here on any of the lists of mancala games out there. The closest game I have found is the one that is implemented on Nokia phones, and there you also get the seeds in your own pods if the opponent has no moves left.

I'd say, leave the rules as is (or make them the same as in the Nokia game), and add some other Mancala games where white doesn't have the overwhelming advantage.