I would say I disagree, because I do notice faster loading times going from my old system with a SATA SSD to my new system with an NVME SSD, but most of that is probably because I also went from an i5 6500 to a 7700x, and from an RX 550 to an RX 6800. I will say I do notice faster file copying speeds though, which is huge for me as I like to play games with mods, and some mods can be fairly large.
Yeah, it can make a difference in file-copying but I don't do that very often. The copies that I do make are generally game files moved over to one of my 8TB hard drives so that I only ever have to download a game once. If I feel like playing an older game that I haven't played in awhile, I just copy it back over. Sure, it might not be as fast as using a PCIe5 NVMe drive, but it's
blazingly fast compared to downloading it from Steam again!
They also don't get hot enough to do any damage to themselves or anything else and to me, that's a much bigger plus than having some extra speed. My system drive is a WD Black SN770 512GB PCIe4 NVMe and it gets noticeably hotter than any of my PCIe3 NVMe drives. I had a Lexar 2TB drive burn itself out and even though it was a PCIe3 NVMe, it made me pretty cautious about things like that. If a drive needs active cooling, I don't need that drive.