correct,wax isn't a polish,its why I use it,not just the deep shine,but the protective coat which will last longer than a polish and "feed" the paint
ps all polishes are abrasive,the higher the wax content the less so,until you get to pure wax,ie pure carnauba Swissol/Zymol,which is non-abrasive.But then again,its a tenner for a good polish,and £120 for a tub of quality wax