I simply do not believe them at this point. We will run out of potential mediators, if I was to share my evidence too early

When the mediation process will officially start, all cards will be on deck. Until then let there be doubt.
I don’t get the point on this logic. Why do you need to make the evidence in sneak peek while you should win all the case in every mediator they will get. How come they will run out of mediator if you will provide evidence to establish solid conclusions about this case.
Are you planning to prolong this case? This kind of a little bit dodgy attitude might backfire to you soon. If you can win here then you will just need to copy paste all the info on other mediator that they will hire to look on your case unless you are not confident with your betting history record.
Easy example
They wanted Gosu representative to be the mediator, they approached him.
But in the meantime I was explaining my side in this thread, Gosu representative
efialtis voiced his opinions on the Fairlay's wrongdoings.
Fairlay backtracked and no longer wanted efialtis as the mediator.
There is no point for me to share everything against Fairlay until the mediation process is set up and ready to go. I am afraid they will say holydarkness is not good enough for them, even though they have already agreed.
But in the end, Fairlay is the one who will gonna pay you so whoever they hire they are still the one who will decide whether they will honor your profit or not regardless of the mediator result unless your balance is on escrow.
At least you have the forum support against fairlay so that they will not gonna promote here if you made a very solid evidence on your case. I know that you are trying to get your money back by providing facts that you are right but the problem is what if Fairlay doesn’t plan to pay you regardless of how solid your evidence is?
There’s same scenario here about coinplay.com which they confiscate user balance due to accusations of cheating which is not proven. Coinplay just abandoned the forum so that they can escape from the payment.