It's a pig circus. impeaching a president is about removal -right in the text.The Chief Justice only presides over impeachment trials of the President. All other impeachment trials, the Chief Justice does not preside. There is a question over whether trump should be considered "the President." He was definitely "the President" when he was impeached, but during the trial he would be the ex-President.
As with all questions of the trial, the final say is the Senate, and they have decided trump is not considered the President in this trial.
So when you start dithering if Trump is impeached as POTUS or ex-POTUS - and the Senate railroading thru a Democratic controlled Senate proceeding has any legitimacy, check your illogic