When Six Flags lost the right to use Tony Hawk, his name, likeness, and branding was removed from the spinning coasters and they just became "Big Spin". Kind of almost what Darien Lake did to their Superman: Ride of Steel coaster after Six Flags sold it and the Superman branding was removed from Ride of Steel.
Six Flags only wanted to use the name "Pandemonium" for their spinning coasters in the US just for unification. If I was the CEO of Six Flags I would either renew the rights to use Tony Hawk or just call the former Tony Hawk coasters "Big Spin".