Mike,I have encountered two British guns in which the front trigger released the left barrel. In both cases the triggers were reversable and were easily switched to the normal sequence.Once the triggers were switched in location,the front trigger fired the right barrel and the rear trigger the left.
Likely some will argue that there could be an advantage in reversing the trigger sequence for example, when shooting driven grouse,when the first shot is mostly taken well out in front and a choked barrel is prefered.Frankly I fail to see any merit in switching the triggers any competent shot has no difficulty in barrel selection based on observed range.
In my mind confusion is the net result, especially to those of us used to the normal double gun firing sequence.