Nylon rope has almost completely replaced natural fiber rope because of its durability. Take a long walk on the beach and you will probably find some pieces of nylon rope.
Rope made from natural fiber like hemp and cotton are better for some purposes and just as good for many others. For any purpose that puts lives on the line, use whatever is recommended by experts. For less important uses, try natural rope first. I even make my own rope from rags. It is pretty easy and it works great. I wouldn’t go mountain climbing or yachting with the stuff, but I’m not doing either of those things anyway.