It's best for most people to use a DA to remove the holograms instilled via a Rotary Buffer.
IF - Again... IF you're using lousy abrasive technology or products meant to be used with rotary buffers ONLY then you can leave Trails or Patterns in the paint that mimic the direction you moved the DA Polisher over the paint.
These trails are trails of DA Haze which is micro-marring scratches in the paint. These are very different than the type of scratches inflicted by a rotary buffer.
Also, too aggressive of a pad, be it a foam pad or any type of fiber pad, when used on a dual action polisher can leave these micro-marring trails in the paint.
Couple a pad that's too aggressive with lousy abrasive technology and you now have TWO THINGS instilling the DA Haze into the paint.
The most important factor when it comes to buffing paint is to use quality products that use quality abrasive technology.
Technique is #2 and Abrasive Technology is #1 because it's the abrasives that are touching the paint.
Make sense?