I’ve watched a video ‘like’ this. As I recall, it is explained that the place currently celebrated as the temple wall is not where the temple actually stood. To take away from a source of running water it was actually down the hill about 400 meters. The takeaway is that the dome of the rock would not have to be removed in order to rebuild the third temple.
The way I understand it the Western wall is not a “wall” per se, it is part of the platform the temple was situated on top of. A foundation, not the temple itself. That is long gone. If you tear down a house and a few cinder blocks of the foundation remain, is that the “wall” of the house? No, that’s the thing the house sat on.
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