Some of us have lives that interact with other people. We have appointments and arranged meetings to keep. It is the height of rudeness to make someone wait while you are late. While I don't have a need for an apple watch, I do need to wear a regular watch, and it was interesting to me that you refuse to wear one. If you have a good procedure for being on time for business and social engagements without having to wear a watch, I would be very interested in learning from you, as often I wish that I could do without mine.
I have a friend that is perpetually late, not that her life is hectic or fast-paced, she just is not concerned with the value of other people's time or with the fact that she is inconveniencing them. After she was an hour late to a lunch outing (kept calling, saying she was on the way, though less than a 10 minute drive to restaurant ), then 30 minutes late another time, Now I refuse to set anymore meetings with her. I just tell her to drop by anytime for a visit and if if I'm not home leave me a note and I'll catch you later. She doesn't wear a watch either.
I don't think not wearing a watch is the reason your friend is late. The fact that she kept calling to say she was on her way should tell you she was perfectly aware of what time it was in spite of the absence of a watch on her wrist. I'm not wearing a watch right now, yet from where I sit I can see two computer monitors, a wall clock, and a microwave oven all displaying the current time. The idea that you won't know and therefore must not care what time it is unless you're wearing a watch is ridiculous.