Locally most powerful rank tests of independence for copula models

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Spearman's footrule and Gini's gamma: a review with complements (2010, methodology): “For additional discussion on rank-based tests of independence and efficiency considerations, see, for example, Genest and Rémillard (2004), Genest and Verret (2005) and Genest et al. (2006).”
Measure of Correlation between River Flows Using the Copula-Entropy Method (2013, methodology): “Genest and Verret (2005) indicated that Kendall’s coefficients or Spearman’s correlation was known to be robust to departures from normality, while remaining powerful.”
Everything You Always Wanted to Know about Copula Modeling but Were Afraid to Ask (2007, background): “statistic. Genest and Verret 2005, who review this literature, explain how each J should be chosen so as to yield the most powerful testing procedure against a specific class of copula alternatives.”
Metaelliptical copulas and their use in frequency analysis of multivariate hydrological data (2007, background): “Because they are rank based, these procedures are known to be robust to departures from normality, while remaining powerful; see, e.g., Genest and Verret [2005] for a recent discussion.”