"In Germany proper, except the southernmost part neighboring Austria and Switzerland, the use of the word Stutzen or Stutzer for a rifle was totally unknown until after 1900! Instead, short rifles were called Karabiner and full stocks were circumscribed as stocked to the muzzle."

little addition
just into the 1880s allmost every (99%) single barrel german-austrian hunting rifle had a full stock so there was no need to have an extra word for the normal.