Fine at that weight
I tow a 3,100 lb large pop-up trailer (19' long, 27' long unfolded). It weights about 3,500 lbs when loaded with gear which is the maximum for a non-boat shaped trailer. I have the Acura towing package installed (hitch, and larger transmission & oil coolers).
I have no power problems towing this trailer and I have towed it about 10 times for a total of about 1,200 miles. On three of the trips I went both up and down some serious grades getting to hunting spots up wet dirt roads. I was quite impressed with the MDX since it isn't really designed to be a trailer towing machine.
I did have sway control on the trailer as well as electric brakes with a inertia based brake controller. This definitely helps with the sway at high speed (70 MPH), especially if you hit some bumpy spots at that speed.
I couldn't say I didn't know I was towing anything. The MDX ride is definitely different. Of course acceleration is much slower due to the power/weight ratio changing dramatically. The MDX definitely takes bumps harder with a trailer (about 300 lbs of tongue weight). I noticed that at lower tongue weights the bumps were worse as the tongue bounced more than when I added an additional 100 lbs to the front storage chest on my trailer. However, the towing experience is never bad nor have I ever been uncomfortable in terms of control, passing, power, etc. It's just obvious you have a trailer out back vs. not having one at all.
The only time you really can't tell there is a trailer is at cruising speed on a smooth, level, highway with little wind. Then I can say you don't know it is back there. Hit some bumps, accelerate from a stop, or drive in 30 mph+ winds and you'll know something is back there -- however that is likely true for many towing vehicles.
