Department chairs have tough jobs. Scheduling a hundred classes every semester. Student complaints. Budgets. Recruitment. Promotion. Tenure reviews. Hiring new faculty. Not killing people. You get the idea.
How do I know all this? I help run a department. Yeah, I’m more than just a pretty face on campus. I also know that department chairs make almost twice as much as their faculty at some places. And they teach half as many courses. Not a bad trade off, I’d say.