Well it does have some panzer like shmup sequences. but maybe it can be compared to a mix between Dynasty Warriors (with much better a.i.) , and Panzer Dragoon (and whatever has some actual dragon combat in the ground stages. Drakengard 3 has about 4 battle systems. The ground combat, mounted dragon combat that can fight on and air, and the shump dragon combat. Also think there are parts where the dragon can summoned as support fire from above, though that is linked to the standard hack n slash combat. )
As for the MC Intoner having sex with the apostles as her harem, there are discussions about that, but not sure how much the localized version will explore that. I think in the Japanese version it is implied but doesn't become the center of conversations.
Found a new trailer of the story expansions coming weekly in March and April. Of course SE better localize these too. I'm actually impressed there's so much detail being put into each story, plus their weapons and moves differ as well.
Drakengard 3 (Drag-On Dragoon 3) Story DLC Full Trailer