What exactly does "support" mean and is it necessary? This looks like a transparent caching mechanism on DNS level that you can just put in between anything and it will cache any URLS that you configure it to chache.
Except it does not support HTTPS but you could probably just modify the client yourself to use HTTP to the proxy if you need this. But at the end of the day, i don't think that LAN parties make up any significant part of the bandwidth of FAF server.
And it would definitely not be a good idea to disable HTTPS for the client by default since it downloads executable.