I've asked a question about WebDAV being disabled on Content Delivery servers but Sitecore Diagnostics Tool keeps showing that I was still missing something.
At that time the answer showed what Sitecore Diagnostics Tool uses to verify where WebDAV is enabled or not. So, I ended up finding that
SwitchMasterToWeb.config was the cause.
That being said I was wondering what exactly
Sitecore.Tasks.CleanupFDAObsoleteMediaData is used for and the reason of being related to WebDAV if any?