I do not agree with your premise that just because in its first three years, SS has not had a ban reversed in equestrian, that respondents should just shut up and “trust the SS investigation.”
For myself, I do in fact trust the SS investigation, but I think respondents are entitled to more safeguards than that.
I think it is vitally important that the respondent knows he can avail himself of adjudication by an impartial judge (who was not involved in the investigation). That is the “fair trial”.
I Suppose SS thought like you did and thought that their mission to protect vulnerable children was so important that they, like you, were willing to sanction a few pedo guys that they believed in their heart of hearts were guilty but for whom they didn’t quite have solid evidence lined up. Maybe they’re right, the perp is guilty, but it’s difficult to really document the case.
If they know in their heart of hearts trainer Z is guilty, but the case is weak, will they risk banning the guy? If the case is weak, they risk a good chance of being overturned on appeal. That would be a disaster.
The fact SS knows that they will have to go in front of an independent adjudicator outside their own organization forces SS to sanction only those respondents for whom they know they have a solid case.
So far, SS has been careful not to overreach, and none of the important bans have been overturned. As SS gets more of a track record of being very rarely overturned, perhaps 10 years down the line no one will ever appeal. However, even if no ever used the appeals process, the fact that SS would have to meet its burden of proof in arbitration or risk being overturned is a vital safeguard to ensure against SS overreaching.