QHeaderView does not look native on Mac OS X

There are two subtle things that make the QHeaderView not look native on Mac OS X:

1)
There's a border on the left and right side of the QHeaderView that does not occur with the Cocoa native HeaderView.

2)
The vertical scrollbar is placed below the Cocoa native HeaderView. With Qt's Views the scrollbar is placed right of the QHeaderView.

Please see the attached screenshots.

I guess issue 1 can easily be fixed. I'm not sure if issue 2 can be fixed at all with the current QScrollArea architecture.