It sounds like it would work about half as well as trying to blow out a fire with a leaf blower. For larger fires involving embers and other carbonized materials, anything that moves in more air will make it burn hotter. But for trivial cases like that frying pan fire, introducing more air puts the mix below flammability limit.
Many fires start from smoldering and involve carbonized embers, and are likely to be made worse by the exact same mechanism that blows out a frying pan fire.
