Yes, it's both comedy and psychological drama, what of it. The BDSM tag is real, there praise kink and choking and disguised non-con (no safe word though) and both characters develop and unfold so beautifully and none is the simple 2D character they seem at the beginning. Truly I really loved them both but especially older, jaded, abused by him mom as a child to the point of erectile dysfunction Aoki sensei.
Edit: Can you believe these losers only decide to move in together during vol. 4?
Oni to Tengoku