Hello! A little while back I made a post on how to make objects have a cool moving effect and I have found the solution. I have never heard of 2.5d animation so I decided to look how to do it. But when I look it up, it shows real life photos with very slight movement. I am trying to make the movements heavy and use 2d shapes and models.
It's a bit confusing- you say you want to make the moves "heavy" but your example shows pretty basic camera moves that loop. there are quite a few tutorials out here on the COW that can help you. I have one that uses 3d displacement to enable more complex 3d paths for the camera moves. Check the tutorials and then if you have more questions be specific.