Nearly all of the research in this search says there is either no statistical difference in effectiveness or “The diminished force output suggests that the overload stresses required for strength training necessitate the inclusion of resistance training on stable surfaces.”
Are you suggesting that there is a general “balance” skill that is trainable and not specific to the movement and exercise, itself? Or transferable to other activities than the exercise?
The principle of specificity doesn’t seem to support that notion. I don’t mean to repeat my previous post, but this applies exactly to what we were talking about.
“A common misconception is that fundamental abilities can be trained through various drills and other activities…For example, athletes are often given various ‘quickening’ exercises, with the hope that these exercises would train some fundamental ability to be quick, allowing quicker response in their particular sport. There are two correct ways to think of these principles.
First, there is no general ability to be quick, to balance, or to use vision…Second, even if there were such general abilities, they are, by definition, genetic and not subject to modification through practice…A learner may acquire additional skill at a drill…but this learning does not transfer to the main skill of interest” (Schmidt, 1991, p. 222).”
Schmidt, R. A. (1991). Motor learning and performance: From principle to practice. Champaign, IL: Human Kinetics.