Seems to be a fair amount of misinformation being bandied about there. Never heard of a motor "compensating" for low voltage. Also seems counter- intuitive to think rapid on/offs is healthier for ANY device than voltage reduction.
In any case, I saw nothing about a fire. Did see speculation about overheating and overstepping a variacs listed amperage but ...
That said I use a cheap boxwave one on my cheap inline fan and it is noisy. I would never use one on my hurricane exhaust.
@crawlintbss no worries friend. You provided some good stuff.