Not all lies are the demonic, malicious variety. But this one is.
People often lie to get out of trouble. Such is human.
But whoever wrote that communique KNOWS it's a lie. Any Trad knows why a Trad bishop would consecrate another Trad priest a bishop. It's the reason why Archbishop Lefebvre did it, and +Williamson has given NO INDICATION that his reasoning and motivation is anything different.
Has +Williamson publicly said that +Faure is to have jurisdiction in Brazil or anywhere else? No.
To pretend otherwise is to tell a malicious, slanderous, demonic, bald-faced lie.
Again, if the SSPX is in the right, or even POSSIBLY in the right, then why are they so desperate, even using the devil's handbook? It sure doesn't look good for the organization.