  We investigate several hydrodynamization times for an ensemble of different
far-from-equilibrium solutions of the strongly coupled $\mathcal{N}=4$
Supersymmetric Yang-Mills plasma undergoing Bjorken flow. For the ensemble of
initial data analyzed in the present work, we find that, with typical
tolerances between $3\%$ to $5\%$, the average hydrodynamization time
associated with the late time convergence of the pressure anisotropy to the
corresponding Borel resummed hydrodynamic attractor is approximately equal to
the average hydrodynamization time associated with the Navier-Stokes result,
while both are shorter than the average hydrodynamization time associated with
second-order hydrodynamics. On the other hand, we find that the entropy density
of the different solutions coalesces to second-order hydrodynamics long before
entering in the Navier-Stokes regime. A clear hierarchy between the different
average hydrodynamization times of the Bjorken expanding fluid is established
for the set of analyzed initial data, comprising also some solutions which,
whilst satisfying the dominant and the weak energy conditions at the initial
time, evolve such as to transiently violate one or both conditions when the
fluid is still far from equilibrium. In particular, solutions violating the
weak energy condition are generally found to take a longer time to enter in the
hydrodynamic regime than the other solutions.
