Check for "deep" copy

Wouldn't it be useful to have a way to easily check whether some object is a deep copy of another? I.e. the two instances could be "equal" but the utility function would return "false" if they share a mutable field.

More generally, how about a function like

public SomeUtils {
    /**
     * @return true if "a" and "b" do not share any mutable field.
     */
    public static <T> boolean areIndependent(T a, T b) { /* ... */ }

    // ...
}

?

It seems that this could be built upon ReflectionDiffBuilder.