I am from eastern Europe.
But don't take my word about P society since I am not measure, since I am quite asymmetrical in P/J.
Through my entire life I have this tendencies it is just that MBTI made it clear for me.
On my first test I was answering in a way that makes me more friendly towards environment. Since all my life I am hidding myself. (not just a J)
But when I have started to connect the dots it is clear what I am.
Chronic lateness is something totally P for sure. But if you manage to move the entire process 10 minutes so that you come 5 minutes earlier you will be in business.
You need to do exactly the same thing, you just have to start 10 earlier.
I am never late unless something trully drastic happens.