In my company on the 744, we tend to start 4 3 2 1. It doesn't matter on the 744 as the brakes are powered by the aux pump number 4 and the body gear steering for pushback from aux pump number 1. If we are starting on pushback, we tend to start the engines on the inside of the turn first to give the tug a chance.
But I can see the logic in starting the right first normally. Sucking the passenger into the engines can be bad for business.