How to perform late-bound invocation (via DispID) of COM object defined in .NET from .NET?

I want to invoke a method on a COM object that is defined in .NET from another .NET application using the DispID.

I have the following class and interface defined in a .NET project:

using System;
using System.Collections.Generic;
using System.Linq;
using System.Runtime.InteropServices;

namespace TestComObject
{
   [ComVisible(true)]
   [InterfaceType(ComInterfaceType.InterfaceIsIDispatch)]
   [Guid("99476c04-574a-4271-abc8-f1d2615c3d93")]
   public interface IKnowEverything
   {
      [DispId(1030)]
      string GetTheTruth();
   }

   [ComVisible(true)] 
   [Guid("9B869BAF-622A-458B-BF80-2CD6D8A3C541")]
   [ClassInterface(ClassInterfaceType.None)]   
   public class AllKnowing : IKnowEverything
   {
      public string GetTheTruth()
      {
         return "I am King!";
      }
   }
}

I build it and it is set to register for COM interop, it is signed with a strong key.

Now I want to invoke this method using its DispID from another .NET application. I wrote the following test method:

static void Main(string[] args)
{
   Guid clsid = new Guid("9B869BAF-622A-458B-BF80-2CD6D8A3C541");
   Type type = Type.GetTypeFromCLSID(clsid, true);
   object instance = Activator.CreateInstance(type);

   string methodName = "GetTheTruth";
   string methodDispIdName = "[DispID=1030]";

   string s1 = (string)type.InvokeMember(methodName, BindingFlags.InvokeMethod, null, instance, null);
   Console.WriteLine("Via name: {0}", s1);

   string s2 = (string)type.InvokeMember(methodDispIdName, BindingFlags.InvokeMethod, null, instance, null);
   Console.WriteLine("Via DispID: {0}", s2);
}

The first invocation is successful and the application prints "Via name: I am King!".

But on the second invocation (using the DispID) I get an exception:

Unhandled Exception: System.MissingMethodException: Method 'TestComObject.AllKnowing.[DispID=1030]' not found.

The type library looks okay to me when looking at it in the OLE-COM Object Viewer:

// Generated .IDL file (by the OLE/COM Object Viewer)
// 
// typelib filename: TestComObject.tlb

[
  uuid(139DAA99-BF76-4057-BCC8-DCB35C153920),
  version(1.0),
  custom(90883F05-3D28-11D2-8F17-00A0C9A6186D, "TestComObject, Version=1.0.0.0, Culture=neutral, PublicKeyToken=58b6bd22fbd98427")

]
library TestComObject
{
    // TLib :     // TLib : mscorlib.dll : {BED7F4EA-1A96-11D2-8F08-00A0C9A6186D}
    importlib("mscorlib.tlb");
    // TLib : OLE Automation : {00020430-0000-0000-C000-000000000046}
    importlib("stdole2.tlb");

    // Forward declare all types defined in this typelib
    dispinterface IKnowEverything;

    [
      uuid(99476C04-574A-4271-ABC8-F1D2615C3D93),
      version(1.0),
      custom(0F21F359-AB84-41E8-9A78-36D110E6D2F9, "TestComObject.IKnowEverything")    

    ]
    dispinterface IKnowEverything {
        properties:
        methods:
            [id(0x00000406)]
            BSTR GetTheTruth();
    };

    [
      uuid(9B869BAF-622A-458B-BF80-2CD6D8A3C541),
      version(1.0),
      custom(0F21F359-AB84-41E8-9A78-36D110E6D2F9, "TestComObject.AllKnowing")
    ]
    coclass AllKnowing {
        interface _Object;
        [default] dispinterface IKnowEverything;
    };
};

What am I doing wrong here?