The only differences between loads in a 410, 20 or 12 ga (and any inbetween) is the payload they can deliver. All of them will usually deliver a specific size shot at between 1200 and 1700 fps. The difference is the larger calibers can deliver more shot, like 1 once of shot verses a half ounce of shot. Basically you can put more pellets in the air for a denser pattern.
The down side is that means more pellets in the game sometimes, especially with smaller shot sizes like 7.5's.
A .410 shooting light field loads at 1250 fps is no less lethal than a 12 ga shooting the same size shot at the same speed, it just puts out more pellets is all. Which is why it kicks harder by the way, more weight to move at the same velocity equals more recoil.
For small game hunting I actually prefer larger shot, like 6,5 and 4's. I really like #4 shot in a fast moving shell. I will use pheasant loads for just about everything from bunnies to turkey. My theory is the larger the pellets, the less of them in the shell, the less of them you have to pick out of the animal

. Plus you can see them easier.
If you are even pondering using rifled slugs in a smooth bore shotgun get the 12 ga. 20 ga is good if you plan on using a rifled barrel with modern sabots, but for rifled slugs I would still suggest the 12 ga for the larger diameter slug.
My opinion anyway.
Paul