I agree strongly that the current player-order algorithm is terrible, despite being true to the letter of the rules, as it will rank players higher who abuse it more. The rule was not written for online play, and it makes no sense to apply it there. I really like playing multiple games against the same person, and I hate feeling like a sap for doing so.
If it's true that unranked games can set the 'just lost' flag, I guess I'll just start having an unranked account logged in from another browser and resign to it after every win. Councilroom doesn't record games less than a few turns, if I remember correctly, so it should be fine >_>