I will still try to get him to a vet as soon as I can. closest most available vet is on wednesday.
I think it's important to note that my cats aren't outside cats- so maybe the risk of my cats transferring nasty bacteria isn't as high as, say, an outside cat would. I also treated him with antiseptic the moment I found him.
thank you all for telling me about anything you guys know. I do appreciate it. somehow you guys are more active than a discord server I'm in, which is supposed to be more immediate.