Yes, I know that cross-training between European styles was already a part of Vigny's experience. My comments, and (I imagine) the original reviewer's as well, were specific to the practice of cross-training between European and Japanese self defense arts, which was arguably Barton-Wright's major innovation, and which was then taken up at Vigny's academy.
"Vigny´s combined art of defense" wasn´t influenced by "Barton-Wright's philosophy of cross-training". As I know Vigny was student of Joseph Charlemont, before he moved from France to Geneve and then to London. At Charlemont´s salle (in Paris) savate, boxing, lutte, canne cross-training was daily practised and this influenced Vigny and his combined method, not Barton-Wright. In France the most part of Jiu-jitsu was already practised in the form of "lutte libre" - before Bartitsu club was opened in 1899.