I carry a cut and blister kit separately, in an easy access pocket.
Then I pack a second kit deeper in the pack that I rarely touch.
I do something similar. OTC painkillers and small bandages in an easy access place (mini first aid on my gear list), then a second kit in the bottom of my pack(emergency kit on my gear list).
Packing List: Summer Day Hike
You have to be able to stop bleeding and this means some combination of roll gauze, pad and some highly absorbent pad.
I just started carrying this:
Quikclot Sport Brand Advanced Clotting Sponge