Doesn't that has asbestos in it?
Possible, maybe even probable, that the solid panels that the heating element is wrapped around could contain asbestos. However, it's solid and not friable so it's not like you get airborne fibers. Friable and airborne is bad, solid and contained is pretty inert unless you disturb it by cutting or smashing (like building demo).
Some hairdryers, up until the 1980's, had asbestos insulation and they had air BLOWING over them.