Even then, there are far too many variables. A camera does not behave like the human eye unless significant care is taken.
the eye has a much broader dynamic range than both the screen and camera. A bright highlight on a TV in a dark room will be a much broader dynamic range than a camera can handle, so the camera will try to average the scene to 18% grey. The bright spot on the screen will shift the exposure downwards to compensate meaning shadow detail is lost. So whenever someone comments on the lovely inky blacks, it's probably just lack of camera dynamic range.
Next up is colour, and again the camera is not behaving like the human eye. The eye gives colour as is, it does not try to compensate. Your camera does not know what colour light is supposed to be, so again it will tweak the colours in the photo to an average. It could be fixing colour errors in the tv picture, it could be making them worse.
cameras do not use the same colour profiles as TVs, they have a much broader range of colour than rec 709 or even dcip3. but how the camera interprets that colour you have little control over without manually controlling white ballance using some kind of grey card. You send the photo over to your laptop, a different colour profile and a different screen is giving a different interpretation. The person on the other end of the interwebs, who knows what they are viewing. So far we are on our third display with a third colour profile and a third exposure all sticking their oar in.
I once had a wedding client email me asking for the RAW photos as he thought they were too bright. It was a very challenging wedding with harsh hard light and I'd spent hours with careful exposures pushing the dynamic range in post on a calibrated monitor, only to have the customer viewing on an uncalibrated display think they were over exposed. You can't control the output of a photo unless you print it.
Hopefully this gives some insight in to the lottery that is photographing a bright coloured light source in a dark environment.