Heinrich is Lawful Good, and I thought very carefully about what that meant when I made him. In essence, Heinrich believes in divine justice, which for the most part could be considered the stuff written down in the scriptures of Heironeous. That said, he does not necessarily believe that law is good in and of itself, and from every description that has been offered so far, he believes the Harmonium is unlikely to apply actual justice to the situation.
A certain amount of this gets trashed unfortunately by the fact that in D&D 'Law' is a universal concept which apparently you must either universally support or repudiate.