Certainly, Caplin's terminology offers no unusual insights into formal design in D779n13. The first strain is only a bit more insistent than most waltzes in its repetitions of the basic idea of mm. 2-3, and other unusual features are self-evident without additional analysis: the displacement of the basic idea through the extended pick-up; the unexpectedly stable, if tonally distant, opening to the second strain; and the ending that is convincing as a reprise even though its appearance is somewhat muddled by a transition that puts the basic idea in a tonally uncertain position. The 16-measure theme in the first strain is a true 16-measure theme in Caplin's sense (not an artefact of the awkward beginning that would make the use of repeat signs clumsy). The 16-measure theme becomes the norm in Strauss, sr., and Lanner; that is stretched to 32 bars in the next generation. The contrasting middle (opening of the second strain) as a second theme is by no means unusual in the early waltz repertoire, especially in Schubert.
Sketch of the design: first strain: 16-measure period consisting of an 8-bar antecedent (sentence in which the continuation phrase is biv + biv with an imperfect authentic cadence) and an 8-bar consequent with the same elements but a perfect authentic cadence. (biv = "basic idea varied.") Second strain: rudimentary period with a 6-bar antecedent that appears to end with a perfect authentic cadence, followed by a 2-bar transition and a reprise of the consequent from the first strain.
Reference:
William Caplin. Classical Form: A Theory of Formal Functions for the Instrumental Music of Haydn, Mozart, and Beethoven. New York: Oxford University Press, 1998.
See also my summary of the terminology in Chapter 1 of my PDF essay Dance Designs in 18th and Early 19th Century Music: Beethoven examples in Chapter 1. Link updated 10 June 2016.