Pergram is an arrogant ignoramus. Yes, if a Senator asks for "unanimous consent", any one Senator can say no, but that's not 100 to 1 veto power. If there is one objection, a vote of 51 Senators can overrule it. All McConnell needs is 51 Senators to approve, and he can have any rules and rule changes he wishes.
Dismiss articles of impeachment before the trial begins. 51 votes will do it.