In a RHD (Australia might drive on the left but RHD refers to what side the steering wheel is on in a car) country (same here in the UK) the bike actually leans the right way with a regular stand, towards the curb and path. Otherwise you'd have to go out into the road to mount the bike and get off in the path of traffic (well, you wouldn't have to but it's easier to mount and dismount from the stand side).
I meant LHT (left hand traffic) of course, not left-hand drive, sorry for the confusion.
Nope, the problem in Australia really was that the amount of camber to the left on the left lane was large enough such that both our bikes would simply tip over if we attempted to stand them on the (left of bike, as standard everywhere) sidestand, to the left side of the road lane. And yes, it was awkward to have to cross the road merely to stand the bikes for a few minutes. Not really dangerous -- WA's population density is one of the lowest in the planet.
Note, I'm talking specifically inter-urban 2-lane roads with no curb(*), and usually no paved shoulder -- this is the vast majority of roads in Australia, particularly in Western Australia, where many of the State's major roads are unpaved.
Other riders I saw ditto.
No problem in urban areas, where the camber was much less, or multi-lane highways, which usually had a flat & wide paved shoulder.
Didn't see this issue in other LHT countries, such as New Zeland, Ireland or the UK.
(*) Isn't that spelt "kerb" in the UK?