I think the'desired goal' is likely to change with each person, snow condition, ability level, equipment, etc.
For a racer, the 'desired goal' is to navigate the course as fast as possible. My goal is to have as much fun as possible, and to enjoy the sensations of riding. I make turns of both shapes as the situation--or my mood--warrants.
IMO, to maximize fun, a rider would be well advised to be able to make both long and short carved turns (and skidded turns, traverses, hop-turns, extension, retraction, etc.). Like a painter with a variety of colors on the palette, it allows you more options for self expression.
And fun.
Mi dos centavos.