I can think of one application for which the .44 magnum has been superior FOR ME, and that's shooting Big Bore IHMSA, standing revolver with Iron Sights. Shooting a speer silhouette bullet over a handload in .44 magnum from a Ruger Bisley 7.5" barrel, vs a comparable load in the same gun chambered in .45 Colt, the 44 shot flatter. To reach out to the 200 yd pigs, required a sight adjustment. With the 45 it required significant hold over as it went past the limits of the rear sight adjustment. 150 was the limit for the sights in 45. For 100 yds and less, they were similar in performance on target, but the 45 had more arc to its trajectory. That's a unique application I admit - most folks don't take their single actions out distance shooting.
Disclaimer: I don't have the reloading experience for the 45 colt as I do the 44 magnum. Someone may have a flat shooting load for 200yd BB shooting with a 45 colt.