When I flew into T5 a few weeks ago the non-GE line for passport control was INSANE. It wrapped back and forth across the length of the terminal multiple times - must have been a 4+ hour line. Baggage claim was likewise a total mess. The belts were clogged with all the baggage of the people in the aforementioned line. Airport employees were making a half-effort to take bags off the belts and put them in piles according to flight.

We had GE, so we found the GE kiosks and collected our receipts. It wasn't clear where we were supposed to go after that so we wound up walking along the entire terminal before realizing this couldn't be right. Turns out there was a GE sign opposite the kiosks hidden by the line of people. But if you show your receipt to the attendant standing there they'll let you walk through the line to the GE passport control line, where you hand in your receipt and then go attempt to find your luggage.

So, with GE there was no wait for passport control (just a treasure hunt to figure out where to go) but if you check bags be prepared. I think it took an hour to get our bags once we got to baggage claim.