It comes down to three primary issues with McCarthy:
1. McCarthy lacks situational awareness. For example, where was he on changing the status quo of Roe vs Wade? What about predictions of gaining 30 to 40 house and 3 Senate seats, only to fall short and actually lose a Senate seat and a Governorship? If that wasn't enough, instead of explaining why he grossly underachieved predictions, McCarthy gives a press conference trying to spin Republican performance as a victory. This, after the Democrats giving the Republicans so much to work with, other than that "Other issue", of course.
2. McCarthy represents the establishment on the Republican side. Sure, lots of political experience can be beneficial for a House leader, but when major reforms are needed, a career politician may feel they have too much at risk. Besides, McCarthy's experience has been during a time of consolidation of Congressional power through rules changes that effectively forced legislation through without adequate ability to review or forcing legislation to be tied in with other, often controversial legislation such as spending. In other words, where was McCarthy when these rules were implemented? What did his website show? What did his Tweets mostly focus on?
3. Flow of power. It seems to me, an appropriate framework to view legislation and House rules is to visualize the changes in the flow of power. Do proposed changes cause power flow to fewer people or does power flow towards more people? Is a check and balance created or removed? Put in another way, consolidation of power leads us towards increasing authoritarianism, desemination of power leads us towards increasing Democracy. For decades, the Federal Government has been consolidating power. This consolidation of power has resulted in the reduction of qualified political candidates from an ethical and competence standpoint. Further, we have become a surveilance state that effectively represses political expression. It is my understanding the Freedom caucus is proposing rule changes that put power in the hands of more people rather than fewer.
There are huge geopolitical, environmental, energy infrastructure, and artificial intelligence issues, some of which represent a potential existential threat to the status quo. Our economic, political, and social systems seem inadequately prepared for upcoming challenges. We need all ideas to be heard, especially since the more familiar voices have gotten us to our current situation. The best way to ensure ideas see the light of day is to give authority to more people. Reforms are necessary, if seemingly inconvenient, and anything less is insubordination of the interests of our country and the American people.
We must support the Freedom Caucus efforts to reform Congressional rules, including changing some rules back before a selve-serving politicial party of the prior Congress decided to accelerate their efforts to consolidate power.
Edit: At the very least, the Freedom Caucus should hold firm, if not expand their demands for reforms. At most, should McCarthy as speaker be reconsidered?