This is another good example of a "small" game -> in Overcooked there's no lore, no adventure, no story to connect to.
There's no universe either.
It's just one gameplay of people coordinating to cook and serve food :)
It's really nice and fun, but it remains in the category of "very small games" for me.
Overcooked I think is the best example of this genre. Super simple gameplay mechanic basically 2 actions and move. But all the fun and complexity comes in from needing to work with other people.
There is a major distinction in my mind between that type of actual collaboration and many “co-op” games where you are basically just playing at the same time and usually actually competing for kills/points.