care/cleaning for crepe soles?

I thrifted a pair of like-new Clark’s suede boots yesterday. Not sure the exact model. They have no signs of wear on heel cup, leather upper, laces, eyelets, stitching, etc. But the crepe soles are very dirty. I’ve never had a crepe sole shoe before but read that they are porous and trap dirt. I’m assuming these picked up tons of dust/dirt from being moved to/from the thrift store and sitting on a dusty shelf. Is trying to clean these a fool’s errand? Any recommended ways to clean? It seems like the original sole was intended to be a color contrast with the suede.