Could you not also measure the thickness of a folded tube with a dial caliper and divide by two to get wall thickness? Seems a bit simpler than inferring wall thickness from weight.Getting back to our comparison here:
The Hartford tube, which is marketed as for use with bias ply tires weighs 2 lb - 9.1 oz.
The Snyder tube being discussed in this thread which is marked "Radial" on the stem weighs 1 lb - 11.8 oz.
The Snyder tube is said to be 100% butyl rubber, composition of the Hartford is not stated, but any significant density is not suspected. From this comparison then, it could be reasonably concluded that the radial tube is actually thinner than the bias ply tube. So short of cutting a section of each and measuring it, one would conclude that the statement claiming that radial tubes are thicker than bias ply tubes is not accurate.
Another compound advertised for automotive use is natural rubber. This link describes its properties for those who might be interested: https://www.petestirestore.com/Understanding-the-Basics-of-Natural-Rubber-Tubes_b_193.html
Regardless, it seems to me that the manufacturer might have the best idea of the intended and recommended end use of his product.