I landed at the furthest D gate on a Delta flight from Seattle. It took me 20 minutes to walk to connecting flight passport control. The passport control line was just over 10 minutes. There were no EES terminals in use for non-EU passports...we went to staffed desks.
There were uniformed staff calling out imminent departure times and if your plane departed at that time, they pulled you from the line and moved you to an officer.
I was at the large shopping/ eating area at about the 35 minute mark. It was then another 10 minutes to my C gate.