Wow, that was a fast certication process.
Version 22.214.171.124 is certified and currently rolling out to the Windows Phone Stores.
In the new version you can define yourself the timespan for the live tile counter. Before this version the timespan was 14 days…a little bit to much i think. The new default value is 3 days and you can change it down to 0. Zero means that the counter only shows the count of birthdays on the current day.