I have two problems with LED headlamps.
First, I've fried chicken at night in a white LED light, and you can't tell if it's done because it always looks white and uncooked. That's not the case with incandescent bulbs. White LEDs screw up colors, and that _can_ be a problem.
Second, I can't tell you how aggravating it is to have some jerk wearing a headlamp walk up and try to talk to you with his high beam right in your eyes. And I can't tell you how often that happens with knuckleheads wearing headlamps. If I'm going to talk to someone while I'm wearing a headlamp, I either turn it off or pull it down so it's hanging around my neck and shining the the ground at our feet.
I have a few LED headlamps, and I use them for walking around at night looking for the porta potty and such. I use a headlamp with a focusing incandescent lamp if I'm going to be doing something. All my headlamps use either AAA or AA batteries, which I have bricks of where ever I may be. There's only been one time I was somewhere I couldn't buy AAs, and that was because the ship that was supposed to be bringing them in forgot them or something - they weren't on board. A local resident gave me some, though.
Your mileage will vary, which is fine by me.