Does the streaming API provide real time count information about tweets?


If I my Twitter app uses the streaming API let’s say to collect real time tweets. Does it also supply real time retweet, like, and reply count data as it comes in for every tweet? I am very confused on how Twitter client apps like Tweetbot are able to get and keep up-to-date and accurate tweet data (likes, retweets, comments) as they do. Is this something you have to listen for in your app?