I swatched Ingenue Blue and Parrot once and at least on me, the Ingenue Blue is the matte version of Parrot....same exact shade but no frost. If Bluer Blue is the same shade of IB but with some sparkle...there you go! Just need to add that frost!
You know, someone should invent a clear base that can turn a matte shadow into frost if you use it wet....use the frosty liquid base to mix with a matte eyeshadow and apply to make it a frost. They have the glosses for the longwear lipcolor that are either just clear or clear with frost/sparkle....why not something for the eyeshadow?