That part of the Legion that served the Vichy regime would surely not have had British kit? I wonder if they would still have had uniforms of this style. I must admit I'm not overly familiar with their various uniforms at various times, beyond their service in the Great War.
Anyway, what I was getting at was that they don't look "Great War" or classic "Beau Geste" style, I was trying to place them in my mind, period-wise.