What I've learned: My 2014 Grand Cherokee Overland has hydraulic power steering. It is powered by an electric motor which is off when towed. In 2016 the steering was changed to electronic steering which can have the wobble. Other models both pre and post 2014 have electronic steering and may have the wobble.
Some Jeep models have a fix which involves a switch on the console which turns on the electronic steering for towing.
One poster said GM uses the same electronic steering. There are posts indicating Ford and GM can have the wobble.
When you put all of this into the internet pot and stir various posts and opinions are posted and it takes time (for me) to sort out my situation.
Disclaimer: I'm no expert and there may be errors above but I hope this post will help others. So as of now I don't think I'll have a wobble problem.