Lets suspend our disbelief for a moment and imagine that it might perhaps just be possible for both views to co-exist?
In my humble ignorance, I wouldn't be surprised to learn that a significantly different suspension system would change the behaviour of the car under braking. Equally, my ignorant mind can imagine that a driver who has spent their entire career with one team (and possibly one brake supplier) from a little schoolboy to a fully fledged WDC would be used to a certain brake configuration.
Now I hope I'm not stretching your credulity too much to suggest that the highly talented (and very very expensive) left foot of that driver would notice the difference of both factors. Certainly the people signing the very big bank transfers would be mightily displeased if that wasn't so.
I must admit that I'd imagine (my ignorance is overwhelming) that on a scale of influence ranging from nothing to nothing-else-matters, the suspension might be towards "noticeable but not impossible" while coming to terms with a different brake supplier might be "woah I'm not used to that".
Of course the obvious solution is to send the driver on an extended mid-season test, but that's just my ignorance showing again. It's also a different thread