Wikipedia is not the oracle. It is well known that they sometimes make mistakes. This is one of them. "Stand right" is correct for UK, but definitely not in Australia.
Edit: The Wikipedia article does actually state that in Australia, it is "stand left, walk right". They got it right!
"Different regions follow different conventions: London,
Hong Kong, and
Osaka follow the stand-right/walk-left pattern, while in Japan (except the
Kansai region, Malaysia, Singapore, Australia, and New Zealand, riders stand on the left and walk on the right."