I have the 2.4l 4-cylinder in a 2010 model, and tow a 4 by 8 "box" utility trailer. Regularly, now that I live in the country and am doing hardscaping and softscaping work. Rated Equinox towing capacity is 1500 lbs, rated trailer capacity is 1200 lbs (a Harbor Freight fold-up with standard 2 by 4 side strakes modified with solid ply sides all around). I can overload it easily, and regularly do just that. Doing hardscaping, a typical max load are 20 bags mortar mix at 1600 lbs. I have weight tickets showing even higher loads, and sometimes get loaded with bulk materials so the trailer frame is sitting on the springs. I would not recommend that, the trailer manual shows the suspension U-bolts pointing up so an overload will damage the suspension and frame as they come in contact. I've modified it so the suspension u-bolts face down, getting a couple inches more spring travel (done after the trailer incurred overload damage).
The Equinox will happily tow at rated capacity (1500 lbs in a 250 lb trailer with 1200 lb load), and it feels normal. Slower acceleration and longer braking, but the trailer isn't bouncing the car around. Overloaded, it will (bounce the car around). I think that's OK around town but NOT if you want to go cross country.
2010 Equinox 2LT, 2.4 FWD, Summit White with Brownstown leather interior, aka the Nox
2017 Honda Pilot Elite AWD, loaded top trim, new, aka the Pilot
1997 Mazda Miata, base model NA with 2000 NB wheels, aka the little red scooter