There's a HUGE difference between Li-Poly and Li-Ion. Lithium Ion packs can indeed be dangerous, and they can actually blow up, or at least burn with an intense heat. Lithium Polymer batteries are MUCH less dangerous as there are no agents in the cell that can burn or off-gas explosive fumes. (At least according to every reliable resource I've ever read.)

Like Li-Ion, you can easily destroy Li-Poly cells by charging them too quickly, over charging them, or draining them too much.

Very many people, the AMA included obviously, are lumping all Lithium cells together, when truthfully the Li-poly's and Li-Ion are two completely different animals.
Dennis-