Cut versus natural edge on steps

I am having flagstone laid on an entry way slab to my house. The slab is about a 4-inch step-up from the a stamped concrete walkway. The installers asked me whether I want a cut edge or a natural edge, where he would select end stones with fairly straight, but natural edges. He says he will extend the edge stone about a half-inch past the riser. Other than the looks, is there an opinion on what is better method? Is there a potential breakage issue with the natural edge? I can't find photos showing the natural look on steps. Thank you all in advance.