Try to ride a horse with a long barreled gun one time and it will become crystal clear to you why barrels were shortened.
Maybe so for some, but the fact is based on a bunch of original western fur trade orders that long barrels stayed popular well into the 1840's and as Taylor noted easterners rode horse as well - the long hunters used them extensively to pack their hides back over the Mtns and had longer barrels in general. And FWIW - I have done a lot of riding with barrels in the 36-42" length - it takes some getting used to and is probably one reason that slings were fairly commonly used - the works of A. J. Miller circa 1837, show a number of slung guns.
I haven't done the math on western orders but the average is pretty close to 42" on most of the orders I've seen - 38" being one of the shortest lengths ordered until post-1840. Even the rifles built by the Hawkens, whether half or full-stock didn't generally go to the 36" or shorter lengths until the 1840's and 1850's - the same time period that eastern rifles went to shorter barrels - as noted a time period when improvements in powder quality occurred as well as the "hotter" ignition of the percussion came into being. One thing that I believe may have also contributed to shorter and heavier barrels in the Far west is the incessant wind always something to contend with out here - a longer and lighter barrel makes more of "sail" in the wind than do the short, stout barrels.
As for a longer sight radius - yes to a point it may be an advantage, but on the other hand you also have a greater amount surface area for glare - the sun out here especially in the high country is bright and intense due to both elevation as well as less humidity.