yeah!.. but that's only if you want to use the grey card as an
exposure reference point!
Because the illuminated grey reference point(the phone app) is constant, it will appear to be the same brightness to the camera whether it's bright or dark.
BUT as a WB reference point the camera doesn't really take into account the brightness level, all it's looking for is a grey colour(at 18%) as a reference point.
If you use Manual WB setting and take the shot of the phone app the camera will simply process the info it requires quicker. The camera is only looking for something grey, and tries to expose it according to it's
meter's requirement for a neutral
exposure. But all it wants is to know how grey in colour the grey reference point is ... not how bright it is.
This app may or may not work, as already mentioned it'll depend on the screen hue, but I suspect that it'll be within 5-10% accurate(good enough). Unless the screen is obviously cast with another colour contamination like blue, green, red, it should work OK.