This is not completely true, there are factors where the price of the trip or a bonus of that trip is larger if the pickup time is over the historical average p

This is not completely true, there are factors where the price of the trip or a bonus of that trip is larger if the pickup time is over the historical average pickup time. For example if the trip is 10min pickup time and 10 min travel, Uber might bump up the price to make drivers be more willing to accept that trip.