We play the game a lot, but it does vary based on the person's role. We have plenty of people who play the game daily (on top of our daily team playtests), but like too much of anything, it can also be draining. In those cases we take breaks from the game, play other games, or what have you, just the other week I was feeling this way so I opt out of our daily playtests and did play during my off time.
For designers, like myself, it is obviously important to be familiar with the game you are working on, but we also want to be playing other games too. It is helpful for new ideas, to see how those games solved unique problems, see what people are enjoying, get an idea of the current standard etc. But it is also good for us outside of our roles as designers, remember we are all still gamerz and started out playing games long before we even thought about making them. And we do want to enjoy other experiences (both in games, and IRL) like anyone else.