Originally posted by lotech does the converter produce more light like a focal reducer, theoretically ?
No. While the lens with wide-angle converter might collect more light, it is from a wider scene. Assuming the scene is evenly lit, the average would be the same and the result would be no brighter. Also, because of light losses due to the conversion lens, you would probably come out worse overall.
A focal reducer does not produce more light; instead, it works by refocusing the image circle projected by the lens to a smaller circle. The "extra" light is light the lens collects normally; it's just the part that usually falls outside the sensor area. The lens MUST be for a format that has a larger image circle than the sensor, such as a 35mm FF lens and a APS-C sensor. Also, because the focal reducer moves the lens closer to the sensor than its designed flange distance, the lens must be designed for a mount with a longer flange distance than the camera (you can't make a focal reducer for full-frame K-mount lenses on APS-C K-mount cameras, because the flange distance is the same).