This answer is kinda long in the tooth,however if they used a D.A.(dual action sander) to sand it down,these sanders run on air and actually turn and go sorta up and down the problem with these is that if it is not followed in sequence with the correct grit paper after words followed by a good block sanding you will see what looks like swirl marks in the paint.Try to remember that you are dealing with a two step process....base coat clear coat...the base has its job to provide color and the clear has its job to provide shine...your problem is in the base.That is why good paint jobs don't come cheap.I work for DC and was a painter for them for 12 years.there is no substitute for a factory finish.DC uses many processes to achieve that shine on our Xfires.The cars go through a phosphate wash and then Electrocoat then a full body Anti chip and then they head to powdercoat or your base and then on to a solvent bourne clear coat.it is quite a process to watch but the end result is what matters.Sparkling Shine.It is impossible to recreate that finish outside the factory however good paint shops will come very close.Mine is black also so you have my sincere sympathy,but I am pretty **** about paint and detaling and I am always up for the challenge.The short answer is it is deep in the base and short of repainting you might have to learn to accept it,not what you wanted to hear but now you know whats underneath