I'd say as long as you have the battery on a fireproof surface like maybe a large frying pan and you are nearby to supervise you are OK.
I actually had a LiPo battery fire. I tried to salvage some 18650 batteries from a power tool and one of them was bad and caught fire. It is not that big of a deal. All you do is carry the fireproof surface (frying pan) outdoors and let it burn out. A burning battery is not a big deal if you are home to take car of it. Old cookware is good because you can place a lid over the fire and take the whole thing by the handle outdoors.
A burning battery is not a big emergency. You don't need to run. But you do want the smell out of the house.
The fireproof bag would work as well but you need some way to scoop it up while it is hot. same with a 1 foot square tile, you have to carry the burning mess outdoors.
But all this is rare and only happens if you have a damaged battery.
I do store my larger batteries inside a flameproof bag ad place the bags inside a metal ammo can.
One more thing, banana jacks are good because they are easy to disconnect
You DO want to use a purpose-built lipo charger the is programmed to watch the state of charge and ramp the current down as needed so it will never over charge the battery even if you forget to turn it off. All real chargers do this.
Just remember, the plan for a burning battery is to pick it up and walk it outdoors and let it burn.