Remember, you are looking for a flywheel for a 163 cc chonda - I don't think it matters whether it is horizontal or vertical crankshaft, the magnet at least will be the same, and probably the whole flywheel will. That means most of the chondas sold in Australia should suit. There are vast numbers of them out there. Outdoorking members seem to flick them aside with their feet when they run across them, and just keep walking, because they have a reputation for being difficult to keep running. You could just as easily use a GXV160 or GX160 Honda flywheel, but people are less prone to throwing genuine Honda engines away, even when they have problems.
Have you tried a tip shop? From what people report here, chonda-engined mowers seem to spend most of their time in tip shops.