The cars I've driven in the UK have varied. The only ones I remember for certain are Nissan Micra (indicators on the right) and BMW 3 series (indicators on the left), and the others have varied. My fingers only seem to know which is which when the car is driving, and I still sometimes hit the wrong stalk if the car is stationary.

Compared to putting the steering wheel on the wrong side it seems like a minor point.