60Hz is what any NTSC TV would have had for consoles. Plenty of older computers, too. Lots of people gamed that way well into the 2000s.
Incidently, if you do the same calculation above for PAL (50Hz), you end up at 10ms, or about 2ms more lag than NTSC. Many modern LCDs can have response times <2ms (which is on top of the console's internal framerate matched to NTSC or PAL). The implication for retro consoles is that the lag difference between NTSC CRTs and modern LCDs is about the same as the difference between NTSC and PAL CRTs.
Doesn't matter. Having a buffer means either the buffer must be full before drawing, or you get screen tearing. It wasn't like racing the beam.