I've contacted the owners of the site in question
What about reporting the false positive to Yandex?
I tried doing that but they want me to register "my" site with their Webmaster Tools or some stuff. I'm not the owner so I don't want to do that on their behalf. There doesn't seem to be a way to flag the report as false through them.
Also, no game or "warez" hosted on the site. It's an broadcasting industry board that's very tightly regulated as to what can be posted or linked to.