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For the work values, the mod is multiplies the baseline work amount of 2.5 by the "Work to build" factor, then adds the "Work to make" to get the total work. So Sandstone is (2.5 * 2.0) + 1 = 6 and Marble is (2.5 * 5) + 1.4 = ~14. I can't tell if the work differences were intended to be as dramatic as they are, or if there was a change in the game's baseline work value at some point.
Slate's beauty doesn't match the description, but double checking the XML confirms that Slate and Marble beauty are defined at 4 and 2. Giving slate a beauty 8 was probably kind of excessive anyway.
TLDR: Mod is mostly worked as described. Tested as of 2023-01-23.
Vanilla Stats:
Sandstone: 420 HP (1.4x), 14 work
Granite: 510 HP (1.7x), 16 work
Limestone: 465 HP (1.55x), 16 work
Slate: 390 HP (1.3x), 16 work
Marble: 360 HP (1.2x), 15 work, beauty 1
Mod Test Stats:
Sandstone: 360 HP (1.2x), 6 work
Granite: 540 HP (1.8x), 16 work
Limestone: 480 HP (1.6x), 11 work
Slate: 390 HP (1.3x), 9 work, beauty 4
Marble: 450 HP (1.5x), 14 work, beauty 2
As you can tell, these health multipliers do line up with the mod summary.