It is however a bit of a dangerous game for those who feel the urge to collect things, as it somewhat gamifies your drinks cabinet by telling you how many drinks you're missing out on unless you buy XYZ ingredient.
This has nothing to do with TFA and the math therein other than it's a cocktail on the list.
no idea on the accuracy or veracity of the history of the name (as is pretty common for cocktails) but i always loved the explanation that the drink is called the french 75 because it "kicks like a french 75" meaning the 75mm artillery gun used in ww1.
I do know that gun exists and you can see it on display at the ww1 museum in kansas city. Having never seen one fired i can only assume how much it kicks but it is pretty large, and working backwards from the efficacy of the drink i suspect it packs a whallop. still a great name, great drink.