^^^ I'm guessing you said - the eraser swirls the paint. The paint has been machine polished - no swirls.
Found this on Autogeek and have been using it as my general guide with both the Miata and the FX.
Here's a list of the products I have for each step. A, "collection" if you will. It's funny how many products I think I still need.
Wash
Turtle ICE car wash
10%IPA & water for chemical stripping (only before sealant)
Hope Depot 5 gallon bucket with Autogeek Grit-gaurd
Lambswool mitt
Dry
Toro yard blower
Synthetic chamois
Microfiber towels
Clay
Turtle ICE liquid clay cleaner
Turtle ICE clay bar
Neglected Paint
3M Heavy cut compound
XMT heavy cut compound
Sonus SF-1 defect remover
Moderate Imperfections
Meguire's Ultimate Compound
Sonus SF-2 swirl remover
Prewax Cleaning
Klasse AIO (cleaner, polish, wax)
Finishing Polish
Meguire's #7 showcar glaze
Wolfgang's Final finishing glaze
Sealants
Wolfgang's Deep Gloss Paint Sealant
Sonus SF-4 Paint Sealant
Wax
Meguire's NXT paste wax
Meguire's quick spray wax
Wheels & chrome
Daytona wheel Brush
3M wheel & tire cleaner
Mother's mirror metal polish - wheels & exhaust
Meguire's Gold Class Endurance High Gloss tire gel
Rain-X for front & rear windows
Mother's back to black for trim
Porter Cable 7424 Dual Action polisher
4" flexible backing plate
6" flexible backing plate
4" Hydro-tech Tangerine
4" Hydro-tech Crimson
5" Lake country(LC) flat yellow pad
5" LC Closed Cell System(CCS) yellow pads
7.5" LC CCS orange
7.5" LC CCS white
7.5" LC CCS red
XMT Polishing pad conditioner
XMT Polishing pad cleaner
pad cleaning brush
50+ microfiber towels - each color a different purpose
With this setup I can pretty much knock out any correction short of down to bare metal with the addition of some wetsanding supplies. I've had the chance to practice on the old, hard clearcoat on the Miata, plus the single stage paint on the Miata hood (repair & respray). I have been starting to work on problem areas on the FX - trying out skills I learned on the Miata. So far so good. Have not yet polished the whole car but plan to get there before the end of the winter.