I feel like the real problem isn’t Lithium-Ion batteries, but specifically non-removable Li-ion batteries. With some devices, non-removable isn’t as huge of a deal, but with other items such as headphones, mice, and gamepads, I’d rather have AA batteries than non-removable Li-ion. In the event that a battery dies while using the device, having to tether yourself sucks. Whereas taking 2 seconds to swap the battery is simple and quick.
Now, the best of both worlds is just a removable Li-Ion battery. That way you can charge overnight, and just swap to another battery when it unexpectedly dies. My headset does that and I love it. Similarly, I used to have that with my LG G4 and it was amazing. This combo yields the best convenience and is best for the environment as you don’t need to recycle as many batteries or replace the whole product when the non-removable battery starts dying too quickly.