A false positive is not "support". That'd be like Blizzard banning your account for using 1GB of RAM instead of 2GB.
Actually, them working to resolve this issue would be "Support". For a platform they have already told you will not be supported.
This is the direct result of a bug with D3/Warden on WINE. It is a !@#$ty, horrible bug that really sucks for people it happened to, but it is still a bug. It is also a bug on an unsupported platform, which they have no defined reason to provide support for.
They essentially told you the setup was unsupported because they didn't want to muck about with it. They told you if you got it to work, great, but if you got some bugs they weren't going to help you. Now you have a bug that caused your account to get banned, and you want them to fix it.
From their point of view, the only reason they will help you at this point is to avoid further negative PR, not because you are right.