Definitely. But in my case I don't play the last of the last. Most games I play such as world of Warcraft or csgo use old engines and don't take advantage of many cores.
Probably most games on that list don't use all cores. So yeah not "many" but "most". Thanks for the correction.
Per-thread performance really hasn't improved all that much since the days of, say, a 4.7 GHz 2600K. Core counts have gone up drastically, but that doesn't help your single-threaded game from 2007.
It very definitely takes advantage of far more than 1 or 2 cores, though, with 4 cores having ~2x the FPS compared to 2 cores.