"compound" is a very general term.
The 'grit' or aggressiveness runs the spectrum from hevy compound to compount to swirl remover to polish to light polish to ... you get the idea.
The universal truth is this: use the lightess grit possible to achieve scratch removal in a reasonable time.
What you want to ask for is a mild paint correction: strip off all waxes, clean the surface (claybar) then scratch removal then polish, then wax/sealant.
Done right, this is somewhat expensive. You can do it yourself, lots of DIYs on line- pick up a Portercable DA polisher, pads, materials for $250. Half to a thrid what a good job will run
A