If you think you can, you are right and if you think you can’t, well you’re still correct.
20 ga. 7/8 will smash targets at any distance a 12 will.
If you’re only managing 2-3 pellet breaks most of the time, well you’ve got bigger problems than what gauge you’re using.
The core of the pattern stays quite dense from cylinder through full. Centre the target in the pattern. Won’t matter what choke or how much shot you have.
How do you do that you ask. Easy. Look at the bird. Ignore the gun completely. When you have a gun that shoots where you’re looking there is no thinking to do.