As for SSD, for most drives, it's true true that they cannot sustain writes indefinitely. They often write in SLC mode then have to rewrite, re-pack things into denser storage configurations that takes more time to write. They'll do that in the background, given the chance, so it's often not seen. But write write write and the drive won't have the time.
Thats very well known, very visible, and most review sites worth a salt test for it and show that sustained write performance. Some drives are much better than others. Even still, an Phison E28 will let you keep writing at 4GB/s until just before the drive is full full full. https://www.techpowerup.com/review/phison-e28-es/6.html
Drive reads don't have this problem. When review sites benchmark, they are not benchmarking some tiny nanosliver of data. Common benchmark utilities will test sustained performance, and it doesn't suddenly change 10 seconds in or 90 seconds in or whatever.
These claims just don't feel like they're straight to me.