That's a study of people already visiting the hospital for a cat bite, which implies they were fairly serious wounds. Of course if you have a serious enough wound to go to the hospital over and possibly get plastic surgery to repair, yes there is a serious risk of infection obviously. The OP was implying that ANY cat bite that breaks the skin means you should rush to the doctor which that paper does not prove.

Furthermore, I already acknowledge that proper wound care should not be ignored.