I looked at the link you posted, including the "Requisites of a Warrant" section. It says as follows: "[The warrant] must state that the person is accused of some offense against the laws of the State, naming the offense." In this instance "accused of some offense" is most certainly synonymous with "charged with a crime". I don't believe there is any meaningful distinction between being "accused" by the state and "charged". Since an arrest warrant was issued for Miller, that warrant had to list the crime he was accused of, which we understand was a third degree felony assault. He was taken into custody and released on bail. I don't know how anyone could contend that he has not been formally charged with a crime. Doesn't mean he'll stand trial or be indicted, or whatever, but I don't think there's any question that he's been "charged".