Hi C-tude,
That post is for Visio 2013. It looks like they've added another feature to paste. The matrix of paste behaviors is getting rather large.
Note that there is a quirk in how Visio handles multiple pastes. Visio seems to maintain some sort of count of the number of times you've pasted. Subsequent pastes are offset down and to the right. This is weird, but makes it so you don't have a stack of shapes on top of each other. This affects all Ctrl + V behavior.
Visio 2013
Ctrl + V shapes from cut/copied from different page:
If the shapes you've copied are from a different page, and you press Ctrl + V, the shapes will be placed in the same location on the target page as they were in the source page. The window will pan to that position if necessary.
Ctrl + V shapes cut/copied from from same page:
Visio places the shapes in the same location (plus the multiple-paste offset), if it is in view. Otherwise shapes are pasted to the center of the current view.
Visio 2010
Ctrl + V shapes cut/copied from from different page:
If the shapes you've copied are from a different page, and you press Ctrl + V, the shapes will be placed in the same location on the target page as they were in the source page. The window will pan to that position if necessary.
Ctrl + V shapes cut/copied from from same page:
Visio places the shapes in the same location (plus the multiple-paste offset), and pans the view to that location.
When copy-pasting to the same page, the original shapes are likely to already be there, so you almost always run into the multiple-paste offset "feature". If you cut and paste, then the result will be in the original location (unless it is out-of-view in Visio 2013.)
If a page has AutoSize, then "original position" also becomes dubious. Say a shape is copied from (1cm, 1cm) and pasted a few times. As the offset progresses, the pasted shapes go off the bottom of the page, causing it to expand downward, due to AutoSize. Now the original shape is at (10cm, 30.7 cm) but continuing to paste offsets from the original shape. This makes sense visually, but logically, the shapes should be pasted at the bottom of the newly-expanded page.