This, along with the fact that when working correctly, the serum supposedly grants eternal life (and resurrection) feels really evocative of the Philosophers Stone.
Other points of note
- Reddish in color.
- Nicolas Flamel, famed for allegedly discovering the Philosophers Stone, was born and lived in France.
The serum has rampantly unusual effects on those who consume it, and most commonly induces insanity, beastly behavior, and mutations. As was seen with Wafner toward the end, when the serum regrew his face, it was shockingly bestial - longer teeth, puffy flesh, abnormal growth. It was not just regrowing his body, it was changing it. Making him into one of the beasts.
When utilized otherwise, it has invigorating and empowering effects, as does the Blood Ministration.
It is a very good thing that the facility was destroyed when it was, and the Allies did not gain access to the serum - certainly, that would have resulted in another Yharnam, Pthumeru and Loran but on a vastly, vastly larger scale; a whole world submerged into the Scourge of Beasts.
However, who is to say that retrieving the substance did not stir the Great Ones in their slumber beneath France?
The notes, having survived the doctor's disappearance, found its way into hands and minds more open-minded than West's, as it now produce results less insane yet more potent than the original formula did, with a higher success rate to its name. The creator of the new formula, following the notes, decided to go straight to the greatest source of bodies they could find, World War II, just like Herbert West did during World War I.
It's still not perfected though.
I mean, Nazi supersoldiers, Gorn, and all that jazz?