Hi NSEU,
Assume North at the top of diagram. With the front course of the ILS (North) selected,
At posn A (normal presentation), centre line is to the Right of 360 degs heading (i.e. to the East of you)
At posns B and C, because your Rose ILS display now has 180 degs at the top and the LOC is still displaced to the East of the 360 degs reference, it will appear that you need to turn to the Left (i.e. towards East).
Only use heading select, don't try and use LOC Capture else it will turn the wrong way.