The CCP is an institution. Your argument implies that belonging to an institution means agreeing 100% with every single decision of the institution.
As, an example, imagine we are talking about a specific action Google took. While you could argue that all Google employees have some kind of responsibility in action s the company takes, would you argue that the millions of the company employees agree with every decision the institution takes?
One can be offended for anything. I fail to see what is arrogant or condescending about criticising an institution (even if millions of people belong to it).
P.S. I am ignoring the dynamics/incentives of being a member of an institution, which could be many more than agreeing with everything the institution does or say.