I'd carry an irrigation syringe. You can just use a regular 5-25 cc syringe without the needle.

One of the needs for the kinds of cuts and scrapes we can get is to be able to thoroughly clean the wound. A jet of water from the syringe can be from gentle to forceful and can effectively get both seen and unseen junk out of a wound.

I wouldn't say don't carry some kind of antibiotic ointment, but this is more important and weighs litte.