QSortFilterModel and strange unhiding of columns

I have created a datamodel that has 3 columns, I created 2 views on the same model using QSortFilterProxyModel.
In the ListViews I hide the first and last columns and filter depending on the third (hidden) column.
I then created the famous 4 buttons '<','<<','>' and '>>' to move items
between the two states, the strange thing is that if I select items
(sing or multiple selections) and 'move' them between the two views all
works well, UNLESS I select the first row and then try to move, in that
case the two hidden columns in the originators listView become visible again!

Code for a minimal example demonstrating this is attached.