$9000 for a polish and coat?
Thats too cheap to be true.
Not a surprise they have no idea how to do polish.
90% of shops on this planet dont know how to do it.
A whole lot of knowledge and skill is needed to finish just good, not even great.
Edit1: Glare is not scratch proof.
And I wouldnt think Tribos is scratch proof either.
You may want to adjust your concepts first.
Edit2: Mazda ask them to do coating?
I didnt think Mazda would do this to risk damaging their new car paints?
Edit3: Even a beginner can see buffer trails...
Let me guess, your car is a Toyota, Honda or BMW?