I guess it's because these same administrators ultimately control the narratives (and budgets, jobs, etc) coming from the schools, creating a self-protecting cycle which only generates more administrative power.
So when attempts to curtail their power happen they can twist it to make it seem like it's an attack on teachers, students, and research - instead of the separate group of people who consume the greatest amount of resources within the school, who don't generate the positive research and economic utility for which universities are typically known.
Which is a shame, because there are probably no better people to stand up for this than the professors and researchers. Plenty of research has shown these people and their work aren't responsible for the massive increase in tuition and costs associated with schools. Yet the problem is perpetually the amount of revenue and income the school can make, not how it's being used.