The book refers to the Chassis Plates as CP. I've just calculated all the box section required for the build as around 12 metres of 19mm and 37 metres of 25mm (lengths of all box section + 10% waste). Based on these figures you can work out that the weight of a BARE (box section only) chassis in 1.6mm is going to be 51.26 kgs and in 2mm as 63.13 kgs. So around a 1.9% increase in estimated total vehicle weight (600kgs). This is based on the density of the mild steel as being around 7,800 kg/m3.
I'm proper out of my league for guessing exactly how much stiffer / stronger the chassis will be made out of 2mm versus 1.6mm.
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