Depends totally on what your gaming.
This has been shown a lot...
If the game has load screens, then yes you will notice a few seconds, in the load times thanks to the much faster reads.
But you have to remember a couple of seconds is significant, when were dealing with mostly milisecond in that area.
So if the game is map loading heavy, or you get that game balance loading, where it holds you in a cage while everyone else loads, and its important for you to troll other players during this time, then a NVMe is considerably faster in gaming.
If your playing a RPG like Witcher or Skyrim and you use map travel a lot, then again, its significant in gaming.
If your playing DOTA, then no you probably wont miss it.