I tend to advise people to at least consider not caring about getting promoted. Here on HN, most of us are lucky enough to be in an industry where you can provide a comfortable life for you and your family at a relatively low rung on the ladder. Once you get there, focus on making sure you don't go backwards and otherwise just coast and do whatever makes you happiest at the end of the day. If playing corporate games makes you happy then by all means focus on that, but if it doesn't then there's nothing wrong with refusing to play.
Not caring isn't right for everyone, but a lot of people just never consider it as an option. It's easy to get caught up in the rat race.