I have been buying "original" cables with this sensor now for some time, and only just started connecting the fact that the light sensor (''not'' the proximity sensor) has been blacked out with a black permanent marker. They tend to work with all of my replacement screens, sometimes without the foam spacer/UV filter that goes over the proximity sensor.
So, recently what I've done when the new screens don't work with the sensor right, is blacked out the light sensor (just one dab) then tested, and it always works, but sometimes I first have to remove the UV filter. In fact more often. Overall it has fixed it 100% so far! (aprox 10/10).
Much easier than applying a foam spacer!