Edit: some high-hz TVs can have 2 or even 3 frames of lag, due to having frame interpolation algorithms that take a 23.97/24/25/30/etc signal and interpolate it to the native 144hz. The frame interpolation algorithm needs to know 2 or 3 frames in advance, so it buffers up those.

Meanwhile, a CRT shows the frame as it's still being transmitted, while the source computer is streaming each line out from the video buffer, with only a negligible delay (analog electron beams are fast!). This means a maximum of a 1/60-second delay even if the source is composing the whole frame beforehand (double buffering).

If the source is doing computation between the scan lines (very common and even necessary on old systems, like the Atari VCS) that delay can be shrunk even further.