We had a 2021 Colorado, no issues and over 10000 miles towing. We also had the Roadmaster battery Cut-off switch and used the Air Force One brake system. Your ignition will be off, but key in accessory mode. Also, when you go get to your destination, we found it much easier to shift back out of neutral if engine was off. Not near as hard of engagement back into 2 wheel drive. Switching back to a 5er so just sold to Colorado for same as we paid for it 18 months ago!
Just watch you first few corners in your mirror to see pickup tires turning directions and back tires rolling. Saw someone trying to leave the park with E-brake still on, got him stopped before he did any real damage.