I believe that one is not the plus version

The gen number is the PCIe (express) generation, not the Playstation generation!
The P in the drive names, are just the brand's name for that drive.

PCIe transfer speeds increase dramatically with each generation.
The gen4 one in this post advertises sequential read speeds up to 5000 MB/s and sequential write speeds up to 4200 MB/s.
The gen3 drive they're talking about advertises sequential read/write speeds up to 3500/3000 MB/s, or about 30% slower than the other drive.
There are some new gen5 SSD's coming out that have speeds over 10,000 MB/s, but they'll be pretty expensive for now, as is most new technology.

In order to achieve those speeds the m.2 socket on your motherboard must be rated for that generation of PCIe. Most of the last couple of generations of motherboards have at least one gen4 m.2 slot. Most of the latest generation of motherboards (other than the cheapest of them) have at least one gen 5 m.2 slot. However, SSDs are backwards compatible, if you don't mind the slower speed. if you were to put the gen4 SSD we're talking about in an older motherboard with a gen 3 m.2 slot, you'd likely get speeds similar to the gen3 SSD.

Prices have come way down on SSD's in the past year or two. Most people now keep 1-2 TB drives in their system for all applications, and even some games. It's generally a good idea to have your games on an NVME SSD, to save time in loading and to get the best performance in the game. Also, most modern motherboards now come with 2-4 m.2 slots, but only 4 SATA connectors.

Thanks for posting, don't want to be that person but it was 209 few days ago directly from crucial. grabbed one and made it 222 with tax..