We have an Acme EZE-Tow...that's the same thing. These are not different dolly's.
Acme "EZE-TOW" Tow Dolly - Car Tow Dolly
The EZE-Tow (by Acme) can be ordered with no brakes, electric brakes or surge brakes (what we have - brakes strongly recommended).
As you wrote, the EZE-Tow needs the car's steering to pivot to negotiate turns (just like flat towing). This is done by unlocking the steering while loading the car on the dolly - then leaving it unlocked.
If your car has a keyless ignition, the easiest way to over-ride the steering lock is to pull (only) the fuse that feeds power to the steering lock solenoid (might take some hunting).
If the car has a key, then it is often as simple as shutting off the car's engine and leaving the key in the keyhole - in the off position.
Sorry - we have no experience with the memory key cars, but it "shouldn't" be an issue.
We found 3 main benefits to the EZE-Tow design*:
~The fixed frame (EZE-Tow) style dolly is simple. There are no extra parts like the pivot pan to maintain or fix.
~There is a large weigh savings (the new ones are now under 400lb - SO EZE to roll around and can be stood-up on end to store). There is no extra steel needed, like for a pivot pan.
~And, the EZE-Tow cannot impact the side of the car with the dolly fender. A pivot pan dolly will have a mechanical stop to prevent impact, but this could break in a jack-knife situation.
*We rented U-Haul dollies 3 times and borrowed a Master Tow brand before buying - just to be sure we would be OK with dolly towing. The EZE-Tow works like a fine hammer - It's just SO simple for us to use.
Hope this helps.
Safe travels
P.S. Richard Brown (owner) and his staff are really good people! No Joke. They are there to help if needed. And, if you go there to get your dolly, they will help you set it up, including how to keep the steering unlocked...no joke.
P.P.S. We are not affiliated with Acme...their dolly just works for us.