Imagine a first person shooter with no menus. You just start up the game, and you’re suddenly in a death match with some other random people. There is no customization for the type of death match. The setting and the weapon selection are randomly generated for you. At the end, you are shown a victory/defeat screen with no buttons. After 10 seconds, you join another match.

There is no pause button, no adjustment for mouse sensitivity, and no configuration for the screen resolution or graphics quality.

No menus. Definitely not a menu game.

The game also has no jump button, no stairs, and basically no Y axis at all. Definitely not a parkour game.