Yeah, 144hz makes a significant difference for competitive FPS games (especially fast paced ones like Overwatch), but I hardly notice a difference when playing single player or PvE oriented games.
Hell, on some games (e.g. Borderlands 3 and CP2077) I actually prefer to play on my 60hz monitor since a smooth 60hz is much more enjoyable IMO than an inconsistent 100-144hz experience. My computer is admittedly pretty old though.
Fascinating! It never would have occurred to me that the sentence was worded ambiguously until you pointed it out, but your interpretation is 100% valid. English is a strange language.