Cole was careful to say "any grease" can be used.
Not accusing anyone mentioned here of doing this, but I, too, wonder if any “specialty” gun products are simply a repackaging of a lubricant also used in other fields under a different label. Decades ago, there was a belief that some products sold as a silicone based dry fly floatant were a woman’s beauty product (Albolene make-up removal) repackaged as fly floatant, but at higher price per oz. Gil