Agreed, however the autoflight system is attempting to fly an ILS with (effectively) rather more drift than normal, even possibly outside the capabilities of the system. The problem gets worse as you approach the LCZR transmitter and the beam narrows.
The discussion is for the most part achedemic as with the LCZR course offset the resulting arrival will be entirely unpredictable.
Someone care to try it in VMC and report back !