Thanks Ender & Pedro for shedding light on this! Really interesting read on JetPack!
I was thinking about getting rid of JetPack for a long time but was not able to let the site stat and the tiles gallery module go. I love these features and use only these two, but I guess it is time for me to get rid of JetPack.
Already removed JetPack from a new site and installed the social share plug-in that Leo shared. Hopefully will be able to get rid of it from the main site too soon!