Well, I'm the sort that finds incongruity hilarious. I laugh alot, so my apologies to the more sober amongst us. I took your unfamilarity with smoothbores as my premise, and advocated a 12 gauge over a 20 for versatility. I think Mike Brooks is a gun building god, and I'm sure Roundball has confidence in his load recommendations. I suppose I should explain to Roundball that I am a trap and pheasant shooter. Neither pursuit is limited to 21 yards. I harvest many birds at 40 yards and beyond.
I am not a gun builder just a very avid shotgunner. I shoot about 100 pheasants per year with a 12 gauge full jug choked flint fowler, and probably at least as many clays. I shoot a few thousand clays per year with smokeless arms.
I'm not a turkey hunter. I've never shot a bird on the ground(...unless it was a crow that had already been wing shot and was simply being dispatched with a second shot) but suffice to say that a gun the patterns well enough to take a bird on the wing at 40 yards, should settle the hash of a strutting gobbler at 25 to 40 yards.
Since you don't already have a smoothbore, and can build what you like, I think a 12 gauge performs better than a 20 or smaller gauge. As has already been pointed out, you can load whatever you want in a shotgun, yet as Mike Roberts and Coyote Joe have so well explained, optimum results will be obtained with standard accepted loads for appropriate gauges.
I have seen families with 4 kids squeezing into a Japanese sedan. It works. However, if that same family were to show up at a dealership to purchase a new car, I think it would be inconsiderate to "sell" them another foreign sedan if a van were available in their price range.
My original point was that there is no benefit to building a 20 gauge when you can build a 12. The 12 will handles round balls as well as any smoothbore, and will throw more shot, more efficiently than a 20.
I really can't account for the popularity of 20 gauge guns except for the availability of barrels. Accepting all answers to your question to be honest and well intentioned, it seems that a 20 gauge can be loaded to shoot almost as well as a 12, but not better than a 12. If that's the case why not just build a 12 gauge? I can certainly understand someone whose invested in a 20 gauge trying to maximize his investment by tweeking loads to bring it up to par, but since you don't have money invested in another gun, why not just build a gun that will do it all?
I'm sorry if the answers have caused confusion, but a divergence of opinion is always helpful to someone attempting to make a buying decision. Having indicated that a 12 gauge is the gun that will do it all, I must mention that all fowlers are a compromise. For big game hunting beyond 50 yards, I have a low opinion of all smoothbores, and would much prefer a rifle. For limb rats too, I would prefer head shooting them with a small caliber rifle to blasting them with a shotgun. For bird hunting however, I think a 12 gauge is a perfect choice. The 12 gauge gun I have posted for sale on this forum weighs less than 7 pounds, thus a 12 gauge needn't weigh more than a 20. I had a 20 gauge Tulle years ago that weighed a pound more than the 12 I'm selling. (The Tulle incidently was worthless for wingshooting because of the stock contouring. If you want to do any wingshooting have the gun appropriately stocked for the purpose)