except the dog would have had the potential to maul and kill you
The problem with cat bites is that people don't know how they can cause sepsis and kill you within a few days, despite appearing relatively minor. If their teeth penetrates ligament lining, it can totally destroy it, etc.
My doctor told me they'll clean dog bite and send you on your way, but a cat bite they may hospitalize you for days for monitoring, antibiotics, etc. expecting a wide variety of dangerous ailments.