Okay I know what you mean, but… Technically you could even consider text to be polygons. Or anything on your display could be considered to be made of single pixel polygons.
Like, you could argue that a sprite based game doesn’t have any polygons because it’s just blitting sprites onto the screen, but a sprite is kinda just a textured rectangle, which is a polygon. Rendering a sprite isn’t all that different than rasterizing a more general polygon either, it’s sort of just a special case where the math is really easy. I’m just being a pedant, though. I blame math class.
I don’t know what you’re considering to be a boomer game, though. Maybe you just mean hoop and stick doesn’t have polygons.