They're both defined as "moonroofs". Any time the glass retracts back to leave a hole, it's a moonroof. (I have NO idea why Honda jp defines it like the way they do.) The reason why yours retracts into the frame is because you have enough room.

Sports coupes don't have enough roof space to hold a piece of glass, so they go over the top.

Since your car is accomidated for the more complicated of the 2 systems, I don't think converting would be the easiest thing to do. You're looking at 900+ for the coupe hardware to begin with.