I forget the name of this game, but remember liking it a lot.

People do care if you are late though. Friends and co-workers wait for you to arrive before starting a meeting or activity, but you are now always the very late one. You are tolerated, but will be kept at arm’s-length because they know you are inconsiderate. You can be 5 minutes late to some meetings in order to feign that you are really important and your previous meetings went over because people wanted more of your time, but if you go much more than that frequently, you are just unreliable.