I don't think the pump or auto can compete with the double, whatever configuration, on upland birds. It'll work, but they're just generally slower. I significantly shoot better with my little 20 gauge SxS than with my previous favorite, my Winchester 1400 autoloader, on doves.
However, I will forever prefer pumps or autos on waterfowl. For one, they handle heavy loads. You need the weight for heavy loads. And, they swing smoother, yet the little 1400 or one of my Mossbergs is quick enough to the shoulder for those fast teal that show up out of nowhere just at shooting time. And, my repeaters are in 12 gauge which is neigh on essential in a steel shot world. I didn't want my double in 12 gauge when I bought it. I'm not the recoil junky I was when I was 19 and bought that Sarasqueta. That thing ain't too bad with light dove loads, but with heavy lead 6s or 3" magnum lead BBs, it was a punisher. It's not bad if you only fire less than a box, typical for a limit of ducks, but a 2 day dove hunt can have you stove up for a while. The 20 is ligher, yet easier on me. My pumps are a little heavier and dampen even 3" well. But, I've yet to try a 3.5" in that Mossberg 535 I bought. That's a good shootin' gun, but it's no heavier than my 500. I have a 10 gauge for geese, 9 lb shotgun, works very well. If that 535 don't pattern close to the 10 or pounds me with 3.5", I'll stick with the ten on geese. On snows, you often have clear days where they just won't come down below 50 yards no matter HOW good you are with a call our how good your spread is. Steel Ts from a 10 gauge patterning over 90 percent at 40 yards on a 30" circle are instant death to 50 yard, even 60 yard snow geese. My 10 is a single shot. Really don't need a second shot, though I have taken doubles with pumps in the past using 3" Federal Tungsten Iron, before it went up from $1.30 a shot to over 3 bucks.
Just rambling here, but yeah, there's BIG place in my gun cabinet for my repeaters as I live in goose/duck country and have hunted them all my life. I've never actually shot a bird over a pointer, any kind of bird. I'd love to do it, just never had the land or the dog or the opportunity by invite. All my dogs have been Labrador retrievers including Molly, my current dog and a danged good one.
Doves are what I call "upland" game.