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Sugar, like salt, is crystalline, and may not be compressible, but the crystal sizes do vary.
10 grams of rock salt will be the same as 10 grams of fine sea salt.
1 cup of rock salt =/= 1 cup of fine sea salt.
Use a scale. Always.
No, sorry but it's just not important. First, granulated sugar and table salt are both uniform at the macro scale and the individual structure of each crystal is immaterial to measurement at these scales. Secondly, your kitchen scale is neither accurate nor precise enough for it to matter for anything but the most compressible solids.
Since you don't accept the abstract argument, how about a concrete one.
This is a pizza dough recipe I make often,
Despite volumetric measurements being offered, there is no way to consistently get a 1/3 of a 1/4 of a teaspoon. But, I am able to get 0.3 grams consistently with a scale.
That's a twelfth of a teaspoon, also known as a "pinch". I bet you thought that wasn't a real measurement. https://www.amazon.com/Norpro-Stainless-Measuring-Spoons-smidgen/dp/B0009X1P9S?th=1 Here's the measuring spoons to accomplish that.