> There is no need to modify existing implementations when extending an interface using multiple dispatch.

Sure there is. If I have a function that takes a Foo and a Bar, and it calls a generic method on them, the generic method must have methods that cover the real subtypes of Foo and Bar. If someone had created subtypes of Foo and Bar and defined methods on all the generic methods that they knew about, and now you create a new generic method, you have absolutely broken the interface just as much as adding a new method to Iterable in Java.