Of course you're technically correct. There are, and have been, terrible arguments for monarchy advanced in the past. But today, democracy is the high-status mode of governance, and so the terrible arguments generated by motivated cognition, such as this OP, are in favor of democracy, not monarchy.

Worrying about bad arguments for monarchy now is like someone worrying about bad arguments for evolution in a creationist school board meeting. Yes it could potentially be a problem, but this over-concern is hardly our biggest problem right now and is very likely itself generated by motivated cognition.