That’s the prevailing statistic, but your original number isn’t that wrong either:

Humans can perceive much smaller latencies.

If you look at the Card & Miller reference, at least some humans can perceive differences in ~50ms vs 100ms latencies when typing (in my limited testing, it’s likely you can!). There’s some newer research I don’t have handy that I believe found error rates decreased and NSAT improved until around at least 30ms (if not 20ms).

On that note, humans can definitely distinguish 60hz vs 120hz reliably (about 8ms faster per frame).

Even faster: with a reference (eg when dragging on a touchscreen), humans can distinguish down to at least 1ms vs 10ms of latency: https://m.youtube.com/watch?v=vOvQCPLkPt4

And you can probably distinguish metronomes that are off by about 1-2ms. Much smaller for other things (like metronomes that slightly slower or faster than one another).

This is a special interest of mine XD