The 660p is a QLC drive and uses a chunk of the flash in SLC mode to cache itself (Most SSD's do). As long as you don't exceed the size of the cache, 100gb I think it was, then it will perform great. If you fill the cache then you get reduced to it's native speed, which is approximately 100mb/s, until the buffer flushes and returns to normal high speeds.
For a gamer, this huge buffer means you will probably never be able to fill it and hit the reduced speed.
The 660p's SLC write cache is quite large when the drive is mostly empty, but shrinks as the drive fills up. AnandTech outlined how the size of the cache varies based on free space in their review (scroll about halfway down the page for the relevant chart)...
https://www.anandtech.com/show/13078/the-intel-ssd-660p-ssd-review-qlc-nand-arrives
For the 512GB drive, the write cache is apparently around 76GB when the drive is less than 25% full, but at 65-75% full the cache is just 13GB, and at over 75% drops to just 6GB. The 1TB drive doubles the size of this cache at any given fill percentage, starting around 140GB and working it's way down to 12GB, and since there's more space to work with, you might also be less likely to fill the drive near capacity compared to the 512GB model. The 2TB drive doubles the size of the cache yet again.
The cached write speed of the drive is quite fast, but considering how slow write performance can get when the cache is full, having as little as 6GB of cache on the 512GB model seems a bit iffy to me. The 1TB model's cache sizes would probably be more comfortable to work with.
As far as game load times go, that shouldn't affect much, since a game will be primarily reading files from the drive, not writing to it. However, if you were to transfer a large game or directory of games from another drive, you might notice the write speed drop to hard drive-like performance when the cache is filled, until the copy procedure has completed. I could see that also slowing down game updates or installations, if the game extracts many gigabytes of files at once during the installation process. So, it's not like it would be something that would negatively affect the in-game experience, but it could potentially affect the out-of-game experience. It might not be much of an issue in practice, but it is something worth noting.