It will be easy to complete 5 dailies after the patch, so it's not a huge deal. I am concerned that Blizzard isn't getting to the heart of the bug, though. There seems to be more to it than battlegrounds. Though I haven't done any battlegrounds since the patch was released and have completed several dailies each day, I have not been awarded this achievement. I've been too busy doing dailies, heroics, and daily heroics.
This was followed by one of many apologies made by Blizzard in recent weeks. When asked the simple request for a 3.0.3 release date, Tigole gave the entirely unexpected answer: Soonish. We'll see it when it's ready.