CRT screens did 75Hz/85Hz/100Hz quite well, but rendered only one pixel/dot at a time. This is in no way equivalent to 60Hz on a flat panel!
When rendering a full frame at once and then displaying it, a modern screen is not only able to be more consistent in timing, it might be able to display the full frame faster than a CRT. Let's say 60Hz, and the frame is rendered just in time to start displaying. A CRT will take 16 milliseconds to do scanout. But if you get a screen that supports Quick Frame Transport, it might send over the frame data in only 3 milliseconds, and have the entire thing displayed by millisecond 4.