Looking into this now. I've seen a few bug reports with counts not incrementing with the new tweet api button.

If you can assist, please tweet this topic: https://www.ubbcentral.com/forums/ubbthreads.php/topics/238823

Then post here if you do so we can get an idea of how many tweets there have been and do a bit of debugging. We've added a couple parameters they suggest such as the tweet-counturl, so we'll see if that has any effect.