I like the mechanic, but there's a problem. Noobs are the most likely to get infections because A) They're new to the game and don't really understand the mechanics of wound healing/combat and B) They have the least access to slapping healing remedies on quickly which is required to avoid infection and C) Ancient windthrows and camomile (which I'm just assuming helps) are not likely to be within their reach.
My neighbour to the south got koed by a bat, and got 6 infections. By the time RNG was let loose, that was 50 hhp worth of damage on a 100hhp character. After giving some advice, basically the best option was to use that character to birth a new spawn so that the newspawn could get better stats than her anyway via the FEP system because of course she'd already trashed her character's hunger/satiations while playing around. Mechanics that make a week old player say "welp gotta undo most of my last weeks work, time for a swim" aren't really a good thing in my book.
Suggestion:
Make infections more relevant to all tiers of gameplay by having wounds at a low chance get infected whether or not they've been treated. Infections for untreated wounds remain the same, infection chance for a wound increases the more severe it is.
Include a minor infection prevention accessible to everyone by "cleaning the wound" with water. This could extend untreated infection time allowing you time to source medicines if you ran out of stock (trying to leech an infectible wound right now is risky since it doesn't count as treated), and/or decrease the chance of infection after treatment. If we're including the "all wounds can get infected", honeyed poultice is a historically accurate antibiotic that could be included as a pre-treatment to significantly reduce infection chance on large wounds.
Include a minor infection healing buff (pushes RNG towards positive rather than net neutral) via willow bark tea. People have been asking for it for a while, it was actually used this way by native americans, and it's more accessible to beginners.