There is currently a lot of information being captured about ruined games through report a player function. But currently this cannot be done for games that have been remade.
In my experience the cases are very rare when all players are playing on the server and there is a valid reason to remake.
I am tried of remaking 3 games in a row every time im playing MM.
There are two ways to improve on this:
Every time a remake vote is being called a person calling the vote needs to select a reason (player left, laggy server, afk, etc).
Enable report a player function for the remade games and add laggy server as a reason.
Both of the above ways will help track stats for servers with lag issues and will help identify them in order to improve performance (or at least turn them off so no more players will waste their time connecting to them).
And also will help identify players that consistently waste everyone time by disconnecting. This information can be used to help those that experience connection problems or punish those that disconnect intentionally.
Obviously it will be up to S2 how to deal with the captured information but bottom line is it should help identify problematic servers and players.