The screen color reflects the color of the car. There are a series of codes for each car that represents options and one set is the color. Anywhere that VIN car is displayed, either in the car, or in an online app, it will be the color in the code set for the car. Other options that are external features charge via the codes too. My Model S has a solid roof and it shows up everywhere with the body color roof.
There was a decoding tool for Model S codes where you copied a URL from your My Tesla page and put it into the decoder. It parsed out the options.
I think a lot of it has to do with lighting. The Tesla red is a multicoat and can look different depending on the light. The pearl white can look different too, mine does.