More interesting is the almost inevitable motion that will be directed to the Chief Justice who sits as a constitutional officer to preside over the impeachment trial. He will be asked to rule that the Senate has no power to impeach a president who is already left office.
It does not take a psychoanalyst to know that Chief Justice Roberts will duck the issue and leave it for the Senate itself to decide.
Republicans, especially those Rinos who have spoken out in favor of impeachment, might very well use this motion as a dodge to avoid voting on impeachment on the merits by voting that the motion should prevail and the trial stopped. If it appears that public opinion has turned against impeachment, some Democrats facing reelection in contested states in 2022 might well do the same.
Democrats might see it as a way to avoid a debacle.. More likely, they will simply shorten the time available for trial and then see a vote of acquittal by a narrow margin which will give them talking points that a majority of the Senate voted to convict.
My hope is that it goes to a plenary trial, there is nowhere to go from here but up. The Democrats have no factual or substantive case.
