Amazon routing TRIES to send you on a most direct route. Whether it is a circuitous or out and back, but it does not consider closure times. The sorters don’t even know times. I got 11 packages today for downtown Dallas high rises, all closed at 6. They were at the end of a 5-8 block.
Nothing stops you from running the block however you feel is most efficient for you, or to hit early closures. Your call.
E is not commercial. I've had plenty of the E that went to apartments and in the evening. I thought it was economy for the cheapest Amazon shipping but it could mean express as told to me by a blue vest. Most but not all were padded envelopes. P is standard shipping that went to residential and commercial.