I know real life shouldn't matter that much, but......when actually on a bike and stopping, you tend to put the kickstand down and the weight of the bike leans into it as you also lean in that direction. Getting off the bike to the right is just so awkward and the fear of knocking your bike over the other direction and grounding the vehicle exists.
For gameplay purposes, if the left side is obstructed, I have seen my character jump out on the right, same with cars.