Appeals Committee. Disputed situations in tournaments.

The situation is tricky, especially since both sides have flaws in their reasoning.

I'm responding:
On our side, there are flaws in the logic, but only if we assume we're lying.
We can't prove that the ping was sent.
Nothing was (video) recorded, and the ping was only sent to find out where the opponent was and why their Hamachi icon (which, unlike Heroes, can automatically reconnect when the internet is restored) was red.
At the time, it seemed like a simple misunderstanding, and suspicions began the next day, as a result of communicating with the opponent.
If I had given the save file, no one would have known about this... if that save file existed, of course – but now no one will ever know.)))

Furthermore, I'm a system administrator with a lot of experience (although I also have a personal interest in this).
Nevertheless, I'll share this experience – it shouldn't influence the verdict, but it will help understand our attitude towards the opponent:
If a computer is online and Hamachi is enabled, it appears green to others, and pings go through in this case.
It can be blue, red, or even gray, as if the computer is turned off; in this case, pings don't go through.
But I've never seen any other Hamachi status besides gray when someone disconnects a computer from the internet or completely (a common scenario: I wish my opponent good luck, their Hamachi icon turns red, their status turns gray; Hell comes out of trance, their status turns gray :).)
And in terms of team organization, no host can return a response if it's offline; that's what the ping is for – to find out if the host is alive or where it is.)))
In Hamachi, among other things, in the chain of servers that the ping passes through, there's always a Hamachi server, which also assigns external IP addresses to the hosts.
And it can't give an IP address, the availability of which is being checked, to anyone other than its legitimate owner, with an identification login/email.
However, if there's another enabled computer where the Hamachi client is running with the same login, it will respond to pings, but only when it's running in single-player mode.
If both computers are enabled, network conflicts arise, which are resolved at the Hamachi server level, and the clients indicate the conflicting host with a red color, which the opponent never saw.
This is where our attitude comes from.
We were ready to offer a rematch, but when they talk about the internet supposedly being unavailable, they could just as easily be misleading us about redoing a turn.
But this is just our attitude.
And we weren't demanding a technical loss for intentional disconnection, which still needs to be proven, and nowhere in the thread is there talk of a technical loss, but only of awarding the victory, and even then, only in the most extreme case :).
The appeal was made for not the most abstract guarantees of protecting the interests of not only the opponent (which are obvious), but also our interests, which, if we simply allow such rematches, may be violated (and in our opinion, certainly will be; the Hamachi episode was not presented as proof, but as an illustration of our attitude)