As a former chemist and all-around maker, I love this and this bugs me all at once. I love the concept, but as others have pointed out, this is less a "periodic table" and more "grab bag of related things". You see these all over the place: foods, drinks, cars, etc. All table, no periodicity. Why are wrenches and drills strewn across three groups? Put the wrenches in one group, drills in the other. Impact drivers som…
Blunt objects form a column: Hammers, presses, brakes.
I agree with your categorizations involving tools that rely on heat, but I guess the problem with any such taxonomy is the next person comes along and goes "well I would do this differently, and that..."