  The recent Reply by Oberlack et al. [Phys. Rev. Lett. 130, 069403 (2023)]
fails to rebut the critique that a mathematical solution method has been
misapplied in their original work. On a point-by-point basis we prove that all
arguments put forward in that Reply are incorrect. Therefore, the fact that the
invariant solution method of Lie-group symmetries should not be used for
unclosed systems in the same way as for closed systems still holds true.
Ignoring this fact only leads to wrong conclusions. Claims such as having
derived solutions of the statistical Navier-Stokes equations from first
principles, or having found a measure for the intermittent behaviour of
turbulence or particularly the true scaling in wall-bounded turbulent shear
flows, are incorrect.
