Seems like you are overthinking it a little. My company has a foosball and ping-pong table and we play it occasionally. It isn't there to trick us into stay longer and we don't work longer hours because we played a game for 10 minutes. We sometimes have a company get-together in the lunch room if we sign a big customer or have a successful deliverable, nothing wrong with a beer and some snacks. Certainly not a reason to run. I would argue that these things have brought my team closer together.