  Gauge theory/string theory holographic correspondence for ${\cal N}=4$
supersymmetric Yang-Mills theory is well under control in the planar limit, and
for large (infinitely large) 't Hooft coupling, $\lambda\to \infty$. Certain
aspects of the correspondence can be extended including ${\cal
O}(\lambda^{-3/2})$ corrections. There are no reliable first principle
computations of the ${\cal N}=4$ plasma non-equilibrium properties beyond the
stated order. We show extreme sensitivity of the non-hydrodynamic spectra of
holographic ${\cal N}=4$ SYM plasma to ${\cal O}(\lambda^{-3})$ corrections,
challenging any conclusions reached from 'resummation' of ${\cal
O}(\lambda^{-3/2})$ corrections.
