I departed Copenhagen (CPH) yesterday (Saturday, May 30) and found the experience more stressful than I would have liked.
One thing I dislike about CPH is that there are multiple passport control areas, so you need to know your gate before you can join the correct passport control line. In my case, the gate wasn't posted until about two hours before departure. Arriving early didn't really help because I ended up waiting around for 1.5 hours just watching the departure boards. Seating in that area was also limited.
When my gate was finally posted, both the C and E passport control lines were very long. The airport monitors estimated a 10–15 minute wait for each, but it took me just under an hour to get through passport control at the E gates. All processing was done by human border control officers. I saw the new EES machines, but they were not being used.
I also noticed that the facial recognition scanners seemed much slower than the ones I've used at O'Hare. The scan at CPH took noticeably longer, while the one at O'Hare took only a few seconds.
The one-hour passport control wait wasn't terrible for me because I like to arrive early. However, not knowing my gate until relatively close to departure was what caused the most stress. Personally, I'd rather clear security and passport control first and then wait for the gate assignment.
Airport staff were pulling people out of line if their flights were about to depart, but it didn't seem to happen until departure was very close. It wasn't a situation where passengers with flights leaving in 30 minutes were automatically moved forward.
EDITED TO ADD: My gate assignment appeared earlier in both the CPH Airport app and the FlightAware app, and it ultimately proved to be correct. However, I had been told that gate assignments can change and should not be relied upon until they are posted on the airport departure boards, so I waited for the official posting before heading to passport control.