The rules are not wrong, just a different variation of the mnay hundreds of ways to play the game. Here is one example Click Here Look at rule 7 where it says U can play both ways. I can find other sites also, but just figured I would add my 2 ¢ that the rules here at BK are not wrong, just different.
I play Mancala at home and the instructions that came with the game also have the same exact rules as that are implemented here at BK.
Rather than change the rules, lets just have different variations of the game. There are many to choose from. (oware comes to mind)