That's right. I just assumed that, since you didn't distinguish between burning out and stilling in your question, BS only mentioned burning out to simplify matters, not to indicate any difference between stilling and burning out when you are transmigrated.

In any case, it would be cool, if BS would clarify it. The idea that Lanfear was stilled in Finnland (by the Finn?!) seems much less likely, than that she burned out by accident due to falling with another channeler, both using an angreal, through a melting ter'angreal at the same time, IMO.