So suppose Dick Cheney's impeached - does he preside over his own Senate trial?

Ah, that’s entirely true. Sorry for the mistake.

The process is an entirely political one, merely dressed in some trappings of the legal system but not part of it. The law does not apply, neither does precedent, and fairness (procedural or otherwise) is in the eye of the beholder.

I found four references to it in the the Los Angeles Times from 1973 to 1974. Two were op-ed pieces from “TRB” of the New Republic. Not sure who was writing that column back then. Another was a commentary by Michael Les Benedict.

One of the TRB pieces quotes William Saxbe as saying that “The House can indict a man if they don’t like the color of his necktie.”