PS5 Pornhub player... I mean PS5 web browser confirmed!
These videos weren't about the Switcher feature that is available in the console, and the Rest Mode options don't mention anything about games suspended when entering this mode. At at least as a first sight in the settings where they entered there wasn't any reference to it.
But it doesn't mean it still may be there. They still didn't explain what the Switcher feature is and how does it work. Maybe it's like Quick Resume, maybe it's just to switch between the game you are running and a secondary app that you may have in the background like in PS4 (as the web browser or YouTube).