The turn table type is much more stable when towing. Plus you can have one that is wide enough for a pickup or car. Another advantage with the turn table type is that you can lock the steering and not have issues.
The tie rod type are just like a wagon. So you are depending on the tow in for it to trail correctly. The turn table type have just a center pivot. It will trail better because of this fact.
Personally I prefer a trailer over a dolly. You have better control of the vehicle you are moving. Especially braking. If you are planing on using a dolly with a car pulling it then you are just asking for trouble. There are few cars today that are heavy enough to tow much of anything.