From my experience the second server has the most problematic position. The winning server trys to stomp you so you wont have a chance to get his position and the third server wants your position. The third server wont help you attacking the first server because its not a logical decission. Usually the third server will never get enough points to switch places with the first one so why even try it. Trying to stomp the second server that already fights the first one is a realistic goal that you can actually archive.
This leads to the problem that the first server, has the easiest position. This system would only work if all 3 servers would have the same skill level / players at night and thats impossible to archive.