Switching between true and magnetic heading also rotates the moving map

[BarTzi]

When switching from magnetic to true heading or vice versa, the moving map on the HSI also moves.

 

This made me think my flight plans were inaccurate, when in fact it's the map that moves a couple of degrees together with the compass rose, instead of just the compass rose (and a few other elements like the course line?) moving a few degrees.

 

Currently, the only accurate way to display flight plans on the moving map is using true heading.