
We do have dirtier mouths than dogs (and cats) because our teeth are rectangular and more tooth is in close contact with our other teeth so there are more bacteria friendly places in our mouths. As per a seminar I attended at a medical convention and this speaker told us how his hospital deals with bites.
Human bites always thoroughly cleaned and antibiotic given. Not part of the protocol is from the supposition that a person who bites other people probably has issues that include personal hygiene. Or a lacking of.
Dog bites are mostly a scrape and if fresh just cleaned and no antibiotic given. Some breeds do chomp and hold on, those might be treated as a human bite. Dog bites are assessed on individual basis, some warrant more aggressive treatment.
Cat bites are serious. Their teeth are like dogs' so their mouths don't harbour as much bacteria as humans' but their teeth are like little daggers and they tend to be chompers so the bacteria they do have goes deep into the skin, even into muscle, and then it's inside where it festers. He said cat bites are always treated aggressively, strong cleaning solutions used and antibiotic.