[Retric]

It's timing dependent. Turning right and momentum 'pushes' your body to the left, but with the correct timing you end up countering that force while keeping the bike absolutely vertical.

PS: Picture how a car turns, the wheels are vertical and you can you can turn without counter steering just fine but the weight externally offset. The difference with a bike / motorcycle is just how difficult it is to balance.

[ozim]

It is not timing it is balance of mass and conservation of energy. Car has totally different mass distribution. So energy conservation is also different.