I know of lot of folks absolutely hate The Truth About Guns and everything site owner Robert Farago does, but they nonetheless churn out enough content that some of it strays from the formulaic enough to actually be useful. One of their regular writer is a EMT, and did a nice write-up on three levels of trauma kits relevant to shooters.
I’ve made it a rule to carry a IFAK composed of similar elements with me every time I go to the range. Based upon recommendations from a SEAL combat medic I stock Celox over Quikclot, but that very well may be a “Ford vs. Chevy” sort of argument that is irrelevant when you actually need to use it.
Shooters plinking one another is blessedly rare at well-managed ranges with a good line boss and range safety officers, but I’ve seen the results of an out-of-battery fire, and swore to always be ready for anything more serious than that. I’d also add that a general camper’s first aid kid with band aids, an OTC painkiller like ibuprofen, burn gel, a disinfectant and tweezers is also good to have around for the bumps, bruises, abrasions, and burns from hot brass finding flesh that are your most common range injuries.
At outdoor ranges, a case of bottled water, a can of powdered electrolyte-heavy sports drink mix, and some glucose tablets are also a good idea, especially with summer rolling in. Heat injuries are rough.
Train hard and play safe out there.