Great minds, eh?
Yes, Harry Greener was responsible for the Musketeer's trigger block, so it is not beyond the realms of possibility that Greeners may have made the Musketeer for Lanes. A far later 1937 Parker Hale catalogue I have illustrates the Greener air rifle with the patented 'hanging trigger block' that was used on the Musketeer but to the best of my knowledge never on the Greener.
John