I suspect that the number of times one of these has actually saved someone’s screen is much lower than those who swear by screen protectors will suggest. The screen protectors are likely far less durable than the screen itself, so not every fall which breaks the protector would necessarily have broken the screen.
I have never used screen protectors and only used cases for a short period, and have never suffered a crack which actually affects the display (only a few nicks around the edges), despite my phone(s) taking some nasty tumbles over the years. Then again, when I handed off an old phone to my brother after 2 years with no cracks, he’d shattered the whole thing within a week.