That's down to the longer persist. LCD goes on and off (almost) instantly, CRTs have a certain amount of "persist" where the phosphor glows for a moment after the beam has left it.
It's also (kind of) why interlacing worked, when black-and-white CRTs had a persist about as long as one field. This would make fast action a bit more "smeary" though, and you can think of its effect as similar to a wider "shutter angle" in a camera.
From online reading and my personal observations, CRTs have lower phosphor persistence than LCDs, resulting in both the flicker and clearer motion. I think interlacing works more due to persistence of vision, and because the beam is thick enough to nearly fill the scanline gaps. You can actually simulate interlacing on a LCD by showing simulated scanlines, alternating by half a line each field/frame. There's a video demonstration at https://youtu.be/tS0cFwvDWkE?t=480.