Other articles claim death from injury, not exposure but who knows. It's up to you what you want to lug around. As someone stated, knowledge is more useful than a tool. Get the knowledge, then you won't have to question what you need.
Most with real knowledge on the issue know that improvised TQs aren't as effective as people think they are and are mostly a false sense of security. All in the name of saving an ounce.
Used to carry benadryl, acetominophen, ibuprofen, pepto bismol or an anti-diarrheal too.
Add for winter: Lighter, 2 person mylar bivy bag
Maintaining normal body temp, hydration, calories is part of patient care. A wind breaker is always on my harness for multipitch. Micro hard shell if rain is possible. A bit more than expected water, extra snacks. There's a mylar blanket stuffed near the back stiffener of my backpack I always forget about. Tape rolls on the side of my pack.
You can use slings, cordellette for tourniquet thought they may not be ideal. Foam backpack stiffeners + tape or slings for splints.
Longer routes and/or specific environments could call for other things like a water filter / tabs.
I carry some bandaids and a SWAT-T tourniquet. As a medic I can say improvised tourniquets dont work well. It is hard to make an improvised tq quickly. Remember someones potentially bleeding out while you build a makeshift tq. The swat t tourniquet works great as a tourniquet expecially for children, and also as a compression bandage. You can also use it to make a sling for shoulder injuries and can use it to splint an extremity. Its smaller than an iphone and fits in the pocket of my chalk bag.