Which one's the Thibault reference? I can tell it's using a decently wide variety of references, but aside from the Fabris one I could not name which illustration corresponds to which source.
The one in the left looks very close to Thibault to me, though you'd usually keep your thumb on the other side of the guard unless you're about to throw a cut. It could also just be some Spanish Destreza style, which are less familiar to me, but practitioners of Destreza usually prefer cup hilts.