LCDs have a further issue that CRTs do not have: transition time. When an LCD pixel is displaying black and it is driven to white, the voltage change across the driving transistor happens a lot faster than the change in brightness of the pixel (caused by the mechanical twisting of the crystal). This has opened the space for a lot of display marketers to play games with latency numbers. Often they will quote numbers for transitions between 2 similar grey levels rather than between full black and full white, which takes a lot longer.
CRTs don't have this issue at all. The phosphor lights up extremely quickly to maximum brightness, even from fully black. It's a bit slower for the phosphor to "cool back down" to black, but it's much faster than an LCD unless you're using a specific high-persistence phosphor. Typical consumer CRT monitors had a persistence in the low microseconds, except the IBM 5151 monochrome monitor which was much longer to give a stable, flicker-free image for heavy office work.