Headlamps with integrated batteries also provide versatility and adaptability, another virtue of rechargeables. if you have, say, a rechargeable headlamp, another light and/or powerbank, you have the ability to shift electrons to either your light or your phone, depending upon the situation. Try that with alkalines.... Many poweerbanks have a small light built in, so you have a backup.

I have found this versatility very useful during recent long power outages in that situation, when keeping the phone working was quite important. A portable solar panel also came in handy as well as on some recent field projects.