This guy just really, really wants to use his slide rule. A cheap gram-accurate scale and an electronic calculator are a more...scalable kitchen solution.
Also, not all ingredients in a recipe scale linearly--most notably spices, tinctures, and any fermentation components.
Interesting. Could you give an example? The only example I could think of is when one is making a big ball of something and needs to cover the surface with another ingredient or preparation then it would scale as ^2/3.
The point of the article is that he can set the C and D scales to the proportion he needs, one time, and then just move the slider around for each ingredient, rather than doing a different calculation for each ingredient. Knowing when to vary the proportion is just basic cooking knowledge which would have to be applied either way.