Your suggestion is quite unrealistic. If you know of something in use which causes a massive desynch of an entire HA tile, please open a support ticket and explain exactly what this would be and how its accomplished. Otherwise, it sounds as though you are simply crying about losing. It would take someone, probably a GM, to search the server logs, network logs and game engine logs, for the use of some type of cheat during the time of which your massive desynch happened, or just prior to it happening. Good luck getting anyone to do that. But, by all means, log the time at which it happens, each time it happens and open a support ticket with the data you collect. But this too, along with your suggestion, will fall upon deaf ears. Because the game has problems already, such as- crashing at the start or end of a game, desynch during a fleet war or desynch while playing a GB or other room, your problem is most likely caused by the fact that there are issues with the game, which have not and will never be fixed or that the issues are caused by a few people who know how to exploit the issues with the game.
Either way, your suggestion, I do not see it being a viable option, for the simple fact that having a "Referee" on either team, would mean that you would have to rely upon the integrity of those assigned to perform the task of being a referee. From what I've seen, you will not find such a person who is without a doubt, able to remain completely impartial and would have the integrity required to be that referee. Especially the sheer number of persons who would be required. You'd never know if your ref's account was being used by someone else, or that maybe it was created to use as a cheat during HA to gain info and on and on.. I would have to vote LoL NO to your suggestion.
This game wasn't designed to run on anything above Windows 98.. That should just about tell you why you have the desynch problem during HA in the 1st place.