This is a character-driven satire piece masked behind a reverse-harem overhang.
The story moves typical to a harem a show in order to invoke scenes that demand our Protagonist be with her harem. But the story itself is secondary to the dialogue and crack at harem shows themselves which is really what this anime is about.
Because this is both a reverse-harem and at the same time a jab at that theme it pleased both sides of harem loving/hating crowd.
The characters are extreme. So much so, it takes a moment to fully accustom oneself to how ridiculous they are. But this is exactly what makes DamePri so fun and exciting. Not to mention our Protagonist is a down-to-earth girl that is always 100% done with the stupidity and excessiveness of her harem which is not something we see too often on the reverse-harem side. I personally love the way they chose to voice her. When she reacts to things it's not the usual "kyaa' or squeal-- you hear some raw female grunts and gyacks befitting of her grounded nature.
Came for the pretty boy visuals, stayed for the genius satirical comedy and outrageous characters.