Javadoc of MethodHandles.Lookup::bind describes its relation to the MethodHandle::bindTo. Specifically, it says
    (Note that {@code bindTo} does not preserve variable arity.)

JDK-8177146 introduced another difference: in the example below 'bind' throws IllegalAccessException but 'bindTo' throws ClassCastException.
That should be noted in the Javadoc.

Example:
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public class B extends A {
    public static void main(String[] args) throws Throwable {
        // throws IAE
        MethodHandle bound2 = lookup().bind(new A() , "m", MethodType.methodType(void.class));

        // throws CCE
        lookup().findVirtual(A.class, "m", MethodType.methodType(void.class))
                .bindTo(new A());
    }
}

package pkg;
public class A {
    protected void m() { }
}
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