Stan & Joe, I'm with you.
A majority of my shooting is driven and a majority of my guns have traditional light right, tighter left. I find using the back trigger first quite natural but it does mean engaging the brain! On an 'average' bird, I really don't bother but on a high bird I shoot tight first and on a close bird I use the open choke and keep the tight for that (usually unsuccessful!) going away shot behind.
In the UK gun trade we generally call a tight right/light left a 'Grouse Choked' gun in deference to the rule that in shooting driven grouse, the first shot should be well out in front in order to have time to use your 2nd barrel.
I recently acquired a lovely Blanch BA SLE with Kell engraving and 29" Whitworth 'Grouse Choked' barrels. Looking forward to using it next game season on driven partridge and pheasant.