I'm not saying that the load times aren't going to be fast, just that an SSD isn't going to magically increase performance for non-disk tasks.
Some folks do seem to be seeing it as the second coming of Secret Sauce Jesus though
It is, yeah. Bolting pieces of level onto eachother as the player goes through, rather than loading it all at once.
Since loading that stuff is an I/O bound task that will block a CPU thread until it completes (and will take an unknown amount of time to complete), games 'time-slice' it, or run it on another thread to prevent the main game thread from stalling and dropping frames.
You pay a load time penalty for that, partly from the CPU not throwing everything it has at the loading process, but primarily from time spent waiting on disk I/O. That's what an SSD will improve.
Prove it
Ten monopoly bucks says my decade plus of game programming experience beats your selectively-quoted paragraph. AMA.