I would not recommend the red dot for normal shotgunning of squirrels and rabbits or wingshooting
But for dialing in a load to hit true to point of aim for turkeys the red dot is great
This exactly. While I don't have a red dot I do know shooting turkey, especially with today's super tight chokes, is more akin to shooting with a rifle. That's why I got fiber optic irons on mine.
Until you spend some time on a patterning board you really have no idea exactly where a given shotgun barrel and load is hitting. And it can vary from shooter to shooter or even shooting position based on gun fit.
But most never realize this as your looser chokes spread the shot well enough for close enough.
Another area red dots shine is for slugs or any use where your shooting stationary targets like deer from a stand with buckshot.
My fiber optics being mounted tight to the rib have been a good compromise as I can still hit clays.