Address Locator - Change Spatial Reference

I've setup an address locator based on data in a particular spatial reference (2193) and I want the locator to output the results in a different spatial reference - WGS (4326). I thought you can do this, but there doesn't appear to be anywhere to set the output spatial reference when I create the locator and if I try to change it in the locator properties, it's greyed out.

I notice if I setup a composite locator and point at it the previously created locator, I can change the output spatial reference to be WGS, but when I use this locator it still outputs the coordinate in the same coordinate system as the data.

Any ideas?