The Constitution does not imply trial rules

An Impeachment Trial Without Witnesses Would Be Unconstitutional

 The impeachment oath, which requires senators to “do impartial justice,” is not a quaint ritual to be performed with a wink and a nod, but a procedure required by the Constitution because the Framers intended the impeachment proceeding to be run much like a judicial trial.

The last thing we need is to put bizarre ideas into our 'Make shit up' chief justice.