It really is time we knocked this 'map shift' stuff on the head.
We understand an ILS was flown to circling DA - map shift would have no effect.
We understand the a/c was trying to turn right into a left-hand downwind circling approach - a visual manoeuvre - map shift would have no effect.
For reasons as yet unknown the a/c kept going to the north-west of the field. Not even on an extended downwind track. Presumably ILS DME still displayed - map shift should have no effect.
And that's without GPS!