Since the original question was "What will change with HDR monitor?"; if the monitors truly are HDR (like Hodgman said, HDR is quite overused by marketing... what it really means by HDR monitors "depends") then what will change for sure is your electricity bill. A monitor that can show a picture in a dynamic range around 4-10 times higher is bound to consume much higher electricity when the "shiny stuff" lits the pixels.
Funny how "staying green" slogan is also important.
If the monitors had a high enough dynamic range then our GPUs might in contrast use less power as they won't need to do things like tonemapping, bloom, lens flares and so on, as the monitor and our eyes will do it automatically, so we may actually save electricity in the long run! (although we may overall lose due to people accidentally setting fire to their homes and losing their eyesight after displaying a rendered sun on their monitor )