Amazing tech, super cheap. 4.5Ah 22.6V pack, converts down to usb-c ranges with absurd efficiency, 24v->120vac inverters are awesome. Packs are so cheap. High power ones can fully discharge in under a minute, which is 6.5kW output, absurd. But my heavens these things are just terrifying. I occasionally use two for a short-range electric skateboard & am shocked nothing has yet exploded or caught on fire. They're more durable than I expect but there is so much energy here so unprotected. And I as someone who watches the internal resistance change over time- I know for real these things age, a lot over time, and eventually some might well become quite unhappy monsters.
But if I had lifepo4 packs, the only thing catching on fire would be whatever the pack was powering. Lifepo4 is amazing. Drive nails into it, set it on fire, whatever. Great cycle count too.
I also have a pretty great charger & charge gently, usually 1A on my 4.5Ah cells. Barely anything. And I monitor cell resistance closely to spot trouble ahead of time. That's key.
I feel pretty responsible here, but I also know I am playing with a dangerous dangerous scary scary thing. I still don't feel great about this. I charge while I'm home & leave my charge setup in the middle of open floor, away from flammable things. But oh I know it's still a risk. I should get a charge crate. Thanks. Sorry that happened to you. Terrifying.
It's all lithium ion, lithium polymer, etc. In casual settings the terms get used interchangeably.
In general, rechargable batteries are lithium ion, with a few different chemistries that differ in danger.
The other main class of lithium batteries are lithium metal batteries, which have metallic lithium as the name suggests. In general these are not rechargeable. Lithium metal AA/AAA batteries are better than alkalines but more expensive. Any button battery that has a name starting with "CR" is a lithium metal battery.
So if you know the context is rechargeable batteries, "lithium" and "lithium ion" are basically the same term. But in a wider context "lithium battery" has more uses.