Nah, the DRM on iPhones is much stronger than screenshot protection. When you’re watching DRM protected media you can still take screenshots but the part of the screen that has the content will be blacked out. Basically all forms of reading pixels from DRM windows just return nothing.

That's "hardware overlay", not exactly DRM (it's been there on PCs for a very long time) but certainly leans in that direction.

It works different, you can always screen record but apps can detect it and stop playing content while the screen is recording.