[BasilG]

I don't think so. What matters here is the solid angle of the lens to the sensor, not the diameter size of the lens element. At the same F-stop a tele lens has the same solid angle as a wide lens to a point on the sensor. But for a tele lens the light ray will hit the sensor more likely with a straight angle.

 

I don't quite understand what the problem is here. Switch on a strong light bulb, shoot it with a wide-angle, then take your longest tele lens, shoot the light bulb from the same distance using the same f-stop and exposure time (!) and check which one comes out brighter. When aiming at a point light source, the telephoto will let much more light enter the system than a wide-angle, which is why shooting the mid-day sun with a telephoto is dangerous for your eyes. No?