Is the bursting into flames something that only occurs while recharging?
No. Airlines do not allow lithium batteries on airplanes for cause, with some exceptions. Accesibility in flight is one. (not in hold).
.Wheelchair batteries can go, but need special handling. I don't recall all the specifics
Some companies Sportsman's Guide for one) will not ship lithium battery watches, range-finders, etc) to Alaska (air travel). Other companies will.
confusing.