I am with you on a headlamp for EMS situations. Back when I took my first EMT course (1974?), on our first practical exercise I approached a victim in rather poor lighting who was complaining about a broken arm or some such thing. I don't believe I had any kind of light with me. Only after I had put a really beautiful splint on his arm did the instructor and the victim point out that his right leg had been amputated just below the knee, or at least that is what the moulage indicated.

That resulted in much better and thorough patient surveys in the real world incidents that followed. Having a working headlamp made those surveys a lot easier. I would say that over half of the people I have handled in SAR were reached and treated after sunset. Even in an urban environment the light can be far less than ideal.