Here is our official reply. When an article by a reputable medical journal suddenly goes viral in anti-vaccine circles on Facebook there usually is more to the story. There was.
Restores the little counter next to Twitter's "tweet this" button that shows you how often your article has been tweeted. Also available as drop-in replacement for Twitter's old undocumented API endpoint that provided this info.
Thanks, I am the dev who put it together. Has been quite the ride so far, going from zero to several million requests per day has been... interesting :-)
I don't know how incomplete the search results are but for most sites this should be enough to give a relative idea of the popularity of their posts. And in any case, I only built it in this way because this was the way Twitter suggested for getting information about links in the announcement they made about shutting down the share counter.