Garret
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and how often do you go to hit ГО (having a scroll with oil) on Jebus Cross without a spell book? In my opinion, there are enough "obvious hits" there.
But in reality, proving (actually proving) that a player cheated from saves is almost impossible. You can always come up with an excuse or simply say that you made moves at random and got lucky... After all, that really does happen sometimes... Here's an example: I was playing a game with a guy; as it turned out later, there was only one Dragon Utopia on the map... (and it decided the game). He ran to it, and so did I; he got there first (and I had revealed it, while he just ran to it blindly)... So, is he a cheater? There is no answer. Even if I had gotten there first, would I be a cheater? Because I scouted the only Dragon Utopia and won...
So there is always an explanation... But when the saves are password-protected, that is already a guarantee (unless you have to hack them).
Someone above wrote about the idea of running the game through a "mediator" computer (I understand it would store both the map and the saves). I think that's fine. But I don't know how to organize it technically.
P.S. I replied after your addition. You're right, we're talking about the same thing.
Added after 3 minutes
to Sevensan
In this case, the circus, as you say, is that Reba was banned almost immediately, but Tinker was not. That's all. That's how the judges decided (regarding Reba, at least... and now it's unclear if they even exist). So the question again shifts to the realm of judging