So there are a couple of things here at a meta level about how the house works: The GOP does not have an operating majority obviously. They are a minority government.
Moving to a plurality potentially forces the hold out hands: Either Jefferies or McCarthy. But that only picks a Speaker, which allows the Members to be Sworn in.
Next is the rules package for the 118th Congress, which doesn’t exist yet. But that suffers from the same problem: McCarthy has to either give the hold outs what they want, or he has to find votes from Jefferies, thus allowing the Democrats to ask for similar concessions in their direction. And those concessions will look like a progressive mirror to the HFC: Equal membership on rules, no Jordan on Jusiciary, A vote for abortion rights, not using the debt limit as a negotiating mechanism, etc.
Conversely, Jefferies winning on a plurality has the same problem: he doesn’t have the votes to pass a rules package.