I confirm that your POD file do not include the skeleton, that's why its not animated. I confirmed this on "
PVRShaman" right click to your object and selecting "Open Data Viewer".
Then, you will see a new window with details about your POD file (In this case, you can see that "Bone Indices" & "Bone Weights" says None:
Here is an example of a POD file with a skeleton:
Do you activated "Export Animations" on your exporter?
Hope this solve your situation.
By the way, its great that you take an effort to explain your problem with details (With a .gif in this case). This help us all to clear your doubts in a few post's.