Full-stocked probably came to be known as Mannlicher-style in the U.S. because of Stutzen-stocked Mannlicher-Schoemauer carbines. Early in the 20th century the Model 1903 in 6.5x54 M-S was among the most well-known sporting rifles in the world, used by many famous hunters and explorers--many of whom were also noted authors. Probably the best-known American fans were Charles Sheldon, the hunter/naturalist who hunted from Mexico to the Alaska, and Ernest Hemingway. But there were a bunch of others around the globe, including of course "Karamojo" Bell and several other noted African hunters, Arctic explorer Vilhjalmur Stefansson, and Roy Chapman Andrews, who some claim was the real-life basis for Indiana Jones.
Quite a few of the carbines were sold in the U.S., often by prestigious firms such as Abercrombie & Fitch in New York, where if I recall correctly is where Hemingway bought his. Otherwise full-stocked smokeless hunting rifles were very scarce here, so Mannlicher became synonymous with full-stocked.
