and so I guess I'd be sporting a stylized cross Moline.
And I'm familiar with the Hospitallers. Us Teutonic knights originally were a Branch of the Hospitallers, but German, and organized along the lines of the Templars (as to be more Militaristic)
and from what I remember, there is some serious variations allowed, as long as it's a black cross upon white. It's really only specified with the Hochmeister's insignia (cross Potent)