Obviously, being late in itself does not make you any more or any less successful, so there must be something more to it. If you find being on time is stressful, perhaps it was a good idea to embrace your lateness, though.
Well it's not the being on time itself, but because everything is punctual, the whole concept of being late gets stressful. And this is not 'just me' if you see aggression in traffic because people 'are late', if you see people running in supermarkets and sweating waiting in the cash register line. If you see people running in sweaty suits across London to make some meetings; you cannot tell me you get nice and relaxed by that. Yet most of us do it.