Don't use alcohol wipes on broken skin. In medical settings they're used on intact skin in preparation of a needle stick to reduce the chance of infection. In a FAK where you're not using needles, they can be used to clean your hands before a treatment. Povidone/iodine wipes can be used on scrapes and small cuts.
I prefer BZK wipes for both purposes; I think they work better.
I am not any kind of medical professional and I don't play one on the Internet.