Note that, under Rule V, the notice is not required to amend a rule if the amendment is by unanimous consent. So I guess each party needs to be sure always to have at least one reliable member present whenever the Senate is in session.
I assume that amendments of rules are subject to filibustering. If that's true, it means that you need to have at least 60 senators on board to amend a rule.
If the Gop call for a cloture vote the constitution will be in effect well as Fox news says...
....
a "cloture" vote on an appellate court nominee would overturn more than two centuries of Senate precedent and rewrite the constitutional definition of "advise and consent."