I know, asking you to win 2 battlegrounds is asking for so much. I don't pvp either and I had no problems doing these BGs, espeically since it tied in with the whole killing the opposite faction thing and it wasn't asking for much.
There is a fine line between a half hour of your time and 'forcing' players to farm a 12 boss instance for the *last* boss week after week until they get the item that allows them to remain competitive. The equivalent for PvE would be forcing you to reach a certain arena rating and having enough points to buy a trinket they mistakenly didn't realize was the best PvE trinket even though it was intended for pvp. Doing two BGs until you win each one once is hardly anything to ask from you.
So, in short, stop crying.