Yeah I think a good gaming monitor has better latency than a CRT. I remember a Mario 64 speedrunning event brought the top players in for a weekend (literally a new world record was set at this event, they had all the best players) and they were all playing on gaming monitors with a good N64 to HDMI adapter. None of them complained about latency, they all enjoyed the setup, and I remember the world record holder (Cheese) actually started using the same setup at home.

The top Mario 1 player (Niftski) plays on a computer with a gaming monitor.