While it's not under perjury, WB is lying when they say they have a good faith belief in their notices, and the people damaged by them should sue the person who signed the notice for fraud or tortious interference, since the filing of the bad faith notice improperly interfered with your contracts with the complained to party.
The use of automated systems with no oversight is not a reasonable basis for the formation of a belief, and thus since WB is using that to base their beliefs on, they're not made in good faith -- they're intentionally trying to skirt that requirement because they want to externalize their costs.
I suggests suing the lawyer directly for his part in the conspiracy, since lying in legal notices isn't a (legal) duty he can fulfill for the company, so they're individually liable for their actions.