This is a little pointless. Each institution easily maintains its own mail server, fully controlling it. Officials use gmail so that their letters are not read by their own system administrators. In this context, using some third-party service is somehow strange for officials, well, other admins will read these letters.
They are doing in "Sputnik" and will do it soon. Everything will be pretty good there, if the team does not disperse by the time the project ends. The project is serious, the people who make it are not the last. There are no cuts-kickbacks, I watched it myself.