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I think the best way to check is to open josm and download only the gps traces (no osm data) for the area and display that with Bing imagery. When you select to realign the imagery you will be shown the offsets as you move the imagery around to get the best alignment.
You will likely also also find the alignment varies across the Fremantle area depending on the individual image being displayed for that area. You may also notice where images are stitched together there may be some inconsistencies.
In my experience Esri imagery is much better aligned but is not as clear as Bing.
As the most popular editor is iD and users seem to prefer Bing and few bother to check the image alignment, I expect that many if not most people just accept that most of the area is aligned to Bing and continue further mapping without adjustment just to keep it consistent.
With newer imagery we may get better alignment and higher resolution and that would be the best time to try to re-align large areas to fit the data more accurately to the real position.

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