If you want to see what this looks like in action, you can see it in this video:
https://www.youtube.com/watch?v=GCcd6jEEKQU
Even PS2 games that had the option for widescreen sometimes left out things like menus and the HUD. It was pretty hacky, but I played PS2 on a 4:3 screen for years before I had anything else. Never seemed like a big deal.