Isn't it strange how different people see things in such different ways?
My take on this is that this is a dream of a shoot - top photographer, top models, top MUA's and a very clever concept.
I've never met Karl Lagerfeld but it seems to me that he's very much like Michael Link, who I greatly admire. And like all 'old school' photographers he relies on his camera and lighting skills far more than on retouching skills. A master of the hard light (in this case a honeycombed Profoto) but with as many other fill and effect lights as are actually contributing. So many people on forums just don't seem to get hard lighting and seem to adopt the 'soft light good, hard light bad' belief... That philosophy worked well enough with Animal Farm (4 legs good, 2 legs bad) but certainly doesn't work with creative photography.
Why Profoto? I'm not impressed with some of the profoto design features and their zoom adjustment, which is basically just a sliding rubber boot that always sticks, is crude - but it works brilliantly and every single flash is exactly the same colour and has exactly the same energy, so there's a reason why it costs so much. Every single time that I make a comment that another make is '2nd tier' someone always says that I'm wrong, but it's obvious to me that these people have never used Profoto.