Have you ever heard of an Anime called World's End Harem?
The game plot is literally the exact same premise.

You are one of the limited males, tasked with repopulating the earth.

The gameplay is: Cookie Clicker + Moving scenes.
I technically finished the game, even though there's no achievements.
Unlocking all the scenes, getting to the final maid dialogue.

I only bought this game because of first appearances, did not think it would be only cookie clicker.
IMO not a game I'd keep playing (because it's just a clicker game)
Was expecting a management game, checking on women you've impregnated. More visual and hands on, not a distant one click means impregnated woman.

IF you like clicker games with these easy to access 3D cutscenes, sure this game is probably for you.