This question is inspired by the remark due to Vladimir Piterbarg made in a related thread on Wilmott back in 2004:
Not to be a party-pooper, but Malliavin calculus is essentially useless in finance. Any practical result ever obtained with Malliavin calculus can be obtained by much simpler methods by eg differentiating the density of the underlying process.
At the same time, it seems that recently there has been a rather noticeable flow of academic papers and books devoted to applications of the Malliavin calculus to finance (see, e.g., Malliavin Calculus for Lévy Processes with Applications to Finance by Di Nunno, Øksendal, and Proske, Stochastic Calculus of Variations in Mathematical Finance by Malliavin and Thalmaier, and the references therein).
Question. So do practitioners actually use the Malliavin calculus to compute Greeks these days? Are there any other real-world financial applications of the Malliavin calculus? Or does Dr. Piterbarg's assessment of the practical potential of the theory remain to be essentially accurate?