The intention of the suggestion was for the fan (which in that specific shape produces a fairly narrow flat stream of air), to blow underneath the stove, whereupon the air hits the wall at the back and spreads out sideways and upwards, and turns around, emerging from the top and sides of the stove and carrying the warmed air into the room like a stove top fan would. Picking up cool air near the floor and pushing it into an enclosed space where it can only emerge from warmed parts should help prove whether arranging significantly increased air movement around the burner will improve your situation elsewhere in the room.
Will such a powerful airflow tend to upset the combustion and perhaps blow smoke into the room?