Yes, that one doesn´t have anything but a motor and a Seebeck generator....which actually is quite impressive on its own.
Just restored my own stove fan here, as the thermoelectric generator was fried, and for no more than a few bucks it´s ready for another 5 years on top of the wood stove.
Here´s a movie explaining the science, the first part alone very neatly displays how the one you show here works: