From my experience (having been on both sides of the fence), adjudication has never been a source of drama. It is a convenient and speedy way to end up a game if things are cleary explained to participants. Having a jury of three members avoid laying the blame on anyone for the decision. Here's how it's done from my experience. It is preferable that the members have already some knowledge of the scenario. The three jury members sits around the table, and the first player is called. One of the jury members ask him two questions:
1. "What are your remaining forces on board?" Then the player shows one by one its remaining OB (this is useful as sometimes jurors might not be aware of units behind level counters, of units with captured SW on top, etc. The player will also tell where its remaining HIP units are. With that, it will be possible to make a static assessment of the situation. No more than one minute for this
2. "What are your plans to win this scenario?" The player then explains how he is going to try to reach the victory conditions. jury members might ask a few questions, but these should be factual and should not reveal any opinion from the juror at this stage. No more than two minutes for this. Then it is possible to make a dynamic forward-looking assessment of the situation.
Then repeat with the second player.
At the end, the members are given a short period of time to reflect (one minute max.) and put their decision on paper (as a % of chance for one side to win). To avoid groupthink and the natural tendency of some to try to influence others (it happens all the time when a collective decision has to be made), i prefer that no discussion takes place between jury members, otherwise it voids the collective nature of decision-making. Then the papers are handed over to the TDs, which makes the average and announce the final decision to players. Each TD has to decide before the tournament what would be the threshold to declare a win rather than a draw (51% if the TD does not want the possibility of a draw; 60-65% otherwise).
The whole adjudication process should not take more than 7-8 minutes per game, with the possibility to run several adjudications in parallel.
(PS: in Copenhagen this year, as i said, i did not complain about the adjudication process, which was as always fair, it's just that i did not know that a draw would be counted as a loss. Had i known this, i would have asked to roll to determine the winner as this option is also foreseen in the Copenhagen rules (and it was convinced at the time that judges would surely go for a draw if they were asked).