If your eyes aren't bothered by it, don't worry about it.
CRTs "pulse" or flicker the light, that is, each pixel is actually lit sometime less than 1 ms of a frame, with the rest of the time being dark. So that 1 ms has to make up for the rest of the time being dark, so it's pretty bright. Some people are affected by this, and some are not. It's like being carsick, just some people are more susceptible to it. When you set a higher refresh rate, there's more pulses per second, so each one can be less bright, and hence your eyes are bombarded with less radiation during each flicker.
LCDs don't have that problem because the LCD only controls how much light gets through (effectively an electronic shutter), and the light is constant. That means that the brightness can be averaged over the whole time length of each frame, rather than all having to be at the beginning, so it's easier on the eyes. On the other hand, some people say they have eye problems when looking at LCDs that they don't with CRTs, but I don't know what's up with that one.