The article mentions they have separate bakeries (uncertain whether Cheesecake Factory owned or not), the in house kitchen/pantry/freezer is optimized around food prep/cooking everything else on menu.
They should maybe rebrand to The Cheesecake Outlet.
I think "Factory" works, since the cheesecakes are the menu item that is made in an actual factory instead of a kitchen.
That would make sense if the sign was on the factory that made them and not the restaurant they are delivered to
Perhaps "Cheesecake Factory Outlet" would be more to your liking?
They have a factory in Calabasas, California that makes all of their cheese cakes.