Hi,
your article is a great help in making decisions!
But one hint to the drop rates of Standard and Alchemy Packs. As you wrote, because of the mechanic that you get at least one rare card in these packs, the drop rate of rares is much higher. If you want to do the "more complex analysis" use these numbers😉:
Without Legendary Potions Commons have 70,39 % and Rares have 24,81 %.
With Legendary Potions Commons have 69,94 % and Rares have 23,46 %.