Pulldown

Simulator

The conversion
slowed down to study itreal time

Slow the playback right down and the uneven cadence becomes obvious: some frames are held twice as long as others.

Try these
Source frames along the top and output frames along the bottom for one cycle of the chosen conversion, joined by lines

Why converted footage limps

Frame rates do not divide into each other neatly. Whenever footage crosses from one rate to another, something has to be repeated, dropped or run at the wrong speed, and each of those leaves its own mark on the movement.