If I really wanted to carry everything imaginable just to be prepared for each and every emergency, I'd bring ECMO. It could perch on my dive flag float, maybe. Or I could instead take what I'm likely to need, and improvise from there, and stop fantasizing about being ready to save the day with every imaginable doo dad. Which brings me to...
Israeli battle dressings. These have always struck me as a holy icon carried by people who also have their chest needles, and whatever else they think marks them as a super duper hero. It's Israeli! What could be more badass? OLAES seems like a much better dressing, though, but still overkill for most personal first aid kits. Maybe for a boat. Those prop injuries can be pretty bad.
The thing about narrow tourniquets is this: Imaging using a piano wire to tighten around someone's extremity. Perhaps that might have a more amputative effect, so to speak, than a blood stopping effect. A wide tourniquet like an overinflated blood pressure cuff isn't going to do that kind of damage. So, somewhere in there is a happy medium. Just never, ever, use a tourniquet to stop bleeding from a head wound!
As for that sacred text, the TCCC, those guidelines are not for outside of combat. They do have some aspects that transfer over, but for heavens sake, read the first page! Or the first pages. Those guidelines are not about definitive care. They aren't about the best prehospital care. They aren't about EMS goals at all. They are about one thing, and it says it right at the beginning: how to get the wounded back in the fight as quickly as possible, and how to free up the rest of the warriors to stay in the fight. That's it. The reason to slap on a tourniquet is not because it has been proven to be the best tool for the job (although for rapid, life threatening hemmorage, it probably is), but because a one handed tourniquet is the fastest way to deal with being shot through an extremity, and needing to be able to stop worrying about it, and keep firing as soon as possible. After the fight is over, folks can return to normal medical care.