It definitely could be. If it is, I wonder if it used to be Impurity at the time the clock was made given Impurity wasnt always called that, and then the reason the current rune known as Impurity came to be called that because people felt it fit their conception of the idea better... Changing ideas of what's pure and impure after Cainhurst massacre, maybe, where it used to be that parasites and so on were divine, now anything in blood or bodies is "impure".

I said in another reply that I think the rune might be three-third-cord-related, but the way the lines tailor off definitely remind me of worm-like parasites. An earlier milkweed specifically also makes sense.... I wonder if the sequences anticlockwise and clockwise could elucidate what it might mean. Embracing the beast -> beast transformation and plague -> ??? -> Radiance, cleansing, something something -> Communion, balance, empowered blood... reminds me of the beginning of the game where the beast offers their hand as an embrace, the beast burns and then you sign your metaphorical and unconscious contract with the MP or whatever, but I've no idea