Oh REALLY!!!!????
Just go and do a simple, and amsuing check for yourself.....
All you have to do is to take and old car and remove the FAR THINNER THAN 2MM sheet metal from the roof of it and THEN see how much stiffness it's lost!
Of course, you can always go and look at the EXTRA floor-stiffening that is put in when manufacturers REMOVE the roof in soft top cars...... and even then, the dash board wobbles like JELLY in most soft-top cars.
You are making the classic mistake of thinking the stiffening effect of the floor tray is restricted solely to the ability to bend along or across the 'plane' of the metal. It does NOT. It also prevents the chassis flexing around the 'plane' which prevents the 'footwell void' from going 'trapezoid'. I don't posess the technical terms to deescribe this properly this but I can give an anology. A music-drum 'shell' is MASSIVELY increased in stiffness if the drum SKIN is fitted and tense. And there is MINIMAL 'flex stiffness' in a drum skin.
Ian
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