In regards of old consoles and old arcade cabinets, this happen to be a problem too. Some shmups and fighting games have been reported as “not so satisfactory” when used on LCDs due to their condition of fixed refresh rate displays. That’s one of the reasons why people still use 240p CRTs for tournaments and showcases.
Well my LCD displays do not have a fixed refresh rate as I explained above. The reason why people still use CRTs for tournaments is because CRTs have no lag and no motion blur like LCDs have.