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Their wax might provide a shine, but I have a problem with any company that says this about their swirl remover:
"Jax Wax Swirl Remover is a true "One-Step" premium-grade speciality carnauba wax that fills in fine scratches and swirls to produce a mirror-like finish. Jax Wax Swirl Remover works exceptionally well on Black and Darker Colored finishes where imperfections in paint tend to be more noticeable".
A swirl remover is suppose to remove the fine scratches & swirls, not hide them. They should not have fillers.
Do the preparation first. Meguiars or Mothers have a good line of waxes OTC.