I don’t suppose it needs much force to circulate the air. Think how easily a dropped hat permeates round a room/office/gymnasium without much force. Unless your stove is on a conveyor belt, it’ll be different then.
I don’t really feel the direct movement of air from our stove top fan – a slight movement of air – but the cumulative effect of the fan over a period of time is very palpable. It really helps the air circulate the warm air around the house and down to the room at the end of the corridor.