I recall reading/being told that polishing Pt doesn't wear it down, just move the surface layer around to flatten the peaks/fill the dips caused by scratches.
That said, it would seem intuitive that some material must surely be removed over time!
Platinum by its nature is more of a "chewy" metal as opposed to gold which is more brittle. Both metals scratch over time with everyday wear but with Platinum these scratches don't remove metal content from a jewel. Polishing or re-polishing of a platinum jewel will result in almost no loss of weight or metal content whereas with gold, a jewel might lose roughly 10% of its weight. Therefore a Platinum jewel can be re-polished much more safely than a gold piece. Gold pieces lose much more metal content after a re-polishing compared to Platinum. This could be vital in areas such as prongs or beading on a pave piece which after re-polishing could severely weaken these prongs. A Platinum piece therefore will better stand the test of time and will be more durable than a gold jewel.