“Many screens are already capable of 300 Hz or 600 Hz refresh...“
Not really.
There were Plasma displays that advertised 600Hz, showing same image 10 times. Not sure I've ever seen plasma monitors...
LCD are slow. Only expensive gaming gear can work at 120Hz in 3D shatter mode without producing artifacts known as ghosting. And usually this is at the edge of their capabilities.
The problem is that the liquid crystal have a turning time. It have to physically move in order to change from one pixel value into another. You can have higher framerates only if you have small gradual changes in the pixel values. The advertised 300-600Hz refresh is just that... advertised. The "extra" frames are "interpolations" of fading pixels.
OLED may be able to get higher refresh rates. But they are still not in mass production.