No. Recapitulation theory is the partly discarded notion that the developmental stages of an organism following its conception accurately reflect its evolutionary history.

But while the embryological development of organisms does conform to the nested hierarchies of life and can be used confirm hypotheses about the evolutionary history of life, the statement that it is an exact image of that evolutionary past was discarded some time ago.

Coda

Which composer? Mozart's concerto no. 23 in A has its second theme in E major, and in the recapitulation it returns in A major. Schumann's concerto in A minor has its second theme in C major, returning in A major for the recapitulation.

Yes, the last part

Percy E. Davidson has written:

'The recapitulation theory and human infancy' -- subject(s): Accessible book, Embryology, Evolution, Human Embryology, Human evolution, Ontogeny