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The mass of the shell certainly increases with the plating. However, the additional mass is such a small percentage of the total mass that its affect on tone is insignificant.
Plating is measured in microns. Those drum shells are measured in millimeters. (1 micron = .001 mm)
I think the thickness of the Acro/Supra shell is about 1 mm. Let's say the chrome plating is about 2 microns thick . That means that if you were to look at a cross-cut of a Supra shell you'd see 1 layer of plating next to 500 layers of Ludalloy! In this example the plating accounts for 0.2% of the thickness of the shell.
The density of the plating vis-a-vis Ludalloy is certainly a factor here, but I doubt the difference is enough to overcome those proportions.
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