What is AAA H game even supposed to be in this discussion? Depending on the interpretation, both of you and Rat-Attack could be right. If AAA H games are H games with higher development cost and quality than the average H games then there are AAA H games out there and studio specifically developing them both in japan and outside of japan.What you you mean, "overall"? It just seems like you're moving the goalpost at this point. Koikatsu and SchoolMate are pretty easy examples of a AAA H game. These games are not vastly known in the west because porn is a taboo, but a LOT of money was spend in them and they are huge in Japan. Some of them have their own engine, too.
If we use non H game standard as comparison however, then Rat-attack is right. While games like Koikatsu and SchoolMate cost a lot of time and money to develop, they're nothing compared to non-H AAA games.