FFS (not getting at you personally GoF), a skinned knee doesn't need any treatment that couldn't wait until you get home. OK it hurts a bit and might be a bit gungy, but hardly life threatening. Makes me glad that I almost never have to deal with corporate types!
Very simple duct tape, a buff and walking pole. On trips 1 day I take zinc oxide tape.
In 40 plus years of walking and climbing they are the only things that have been genuinely useful.
In my time I have suffered multiple injuries from a 600ft fall (helicoptered off), fractured my heel (hopped back to car and drove to hospital), broken a couple of fingers and toes, plus ripped tendons in my wrist. In none of those cases would a first aid kit have been remotely useful.
At a lower level, but with good views there is the Pap of Glencoe. Also it's worth walking up into the Lost Valley. The final slopes up to the summits are probably still snow covered, but you should be able to get up to the corrie.