That's what I would consider the Hippo. The Modern Defense and the Owen's Defense can lead to the Hippo, but until I have something that resembles that formation (or something close to it with the fianchettoed bishops and the knights in the center), I would say that I'm still in the process of going for the Hippo.
How do you define the Hippo?

In my opinion, it's the tendency to go for a double fianchetto, tuck the knights on squares just above the king and queen, and go for the pawn structure shown above. h6 and a6 are not used in the same way as the Modern, for example. Also, characteristic is the tendency to linger with the king in the center and keep the position closed before attacking.
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What makes it a Hippo as opposed to the Modern, the Owen, or something else?
I define the Hippo as this formation: