Something that is often overlooked in the prepper first aid kit is an adequate supply of bandages of all types.
Adhesive bandages are fairly inexpensive, which is a good thing because you can easily burn through a ton of them in short order after a disaster. Remember, it is critically important to avoid infections so even the smallest cuts and scrapes should be cleaned and covered. It is easy to keep them clean today since we have abundant supplies of clean water and access to a wide range of over the counter medications, such as antibiotic ointment. That can change in a heartbeat after a natural disaster. Small injuries we would more or less ignore today could be disastrous down the road.
Just as important are the larger gauze bandages and the like. If there is a serious injury, it may take a while to get the bleeding under control. Once that happens and the patient is stabilized (more or less), frequent changes of the bandages are needed to prevent sepsis. A single gash in the arm or leg could require several boxes of gauze bandages by the time it is healed.
Bandages are one of those things that we may not think much about because they are so mundane. People get excited when you start talking about suture kits but they do nothing but yawn when you talk about adhesive bandages. Honestly though, which are you more likely to need?
My suggestion is to pick up a box or two of bandages every time you stop at the dollar store or your favorite discount retailer. Cost is only a couple bucks but those boxes will add up quickly in your medical supplies.