That work was also painted on canvas (not wood), making it much easier to hide. In fact, it was hidden for three centuries! after Botticelli's death.
Botticelli also served as a goldsmith's apprentice, and used gold flakes in the paint of the golden dome.
He was also heavily influenced by (of all people!) Savonarola.
Yes, when Botticelli came under the influence of the greatest villain of art but a charismatic speaker, the Dominican monk Savonarola, he was compelled to burn some of his non-religious art, as did others. Botticelli’s Birth of Venus and Primavera survived only because they were held by the Medici Family.