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Doctors often do rounds at the hospital first thing in the morning. There could have been an issue at the hospital that kept them, or maybe there was an unexpected influx of patients getting hospitalized the night before. People tend to ask the people around them about their doctor when they are looking for a new doctor. So, if there was an accident at a factory, or even just food poisoning from a church gathering, it's not surprising if a large number of the group have the same PCP or GP.
On the other hand, many doctors are just narcissistic shit heads with God complexes who don't give a fuck about us mere mortals.
My pcp is often running late, but it is because he specializes in diseases that affect the elderly like diabetes and heart disease. So he often has to go to the hospital unexpectedly. On the other hand, anytime I've ended up in the hospital, he's been there first thing in the morning making sure that they aren't screwing up my medications, which they always are.