CRTs are "dumb" devices, they literally just amplify the R/G/B analog signal while deflecting a beam using electromagnets according to some timing signals. As far as input lag goes, they're the baseline. For fast motion they have some advantages at leat over poor LCD screens as well, since non-strobing LCDs quite literally crossfade under constant backlight between the current image and the new image; we perceive this crossfading as additional blurring. A strobing LCD on the other hand shifts the new image into the pixel array and lets the pixels transition while the backlight is turned off. The obvious problem - it's flickering.
LCDs that aren't optimized for low latency will generally just buffer a full frame before displaying it, coupled with a slow panel these will typically have 25-35 ms of input lag at 60 Hz. LCDs meant for gaming offer something called "immediate mode" or similar, where the controller buffers just a few lines or so, which makes the processing delay irrelevant (<1 ms). The image is effectively streamed through the LCD controller directly into the pixel array.
LCDs that aren't optimized for low latency will generally just buffer a full frame before displaying it, coupled with a slow panel these will typically have 25-35 ms of input lag at 60 Hz. LCDs meant for gaming offer something called "immediate mode" or similar, where the controller buffers just a few lines or so, which makes the processing delay irrelevant (<1 ms). The image is effectively streamed through the LCD controller directly into the pixel array.