That generally isn't enough to get published nowadays though, at least in a simple sense (in a broader sense that process might describe all research, of course). To get published requires some deeper demonstration of a new kind of method that not only works, but is superior to all that preceded it in some important way. In other words you show your new method compared to other methods, where yours must be better. Obviously, bad research here can show a supposed advantage by either doing a unfair job applying competing methods, or overfitting their new methods. Or both. As I understand it, the first one is quite common: comparing a poorly-tuned old method to a carefully-tuned new method.