  The valence-quark distribution function of the pion has been of interest for
decades; particularly, the profile it should adopt when $x\to1$ (the large-$x$
behavior) is subject of a long-standing debate. In the light-front holographic
QCD (LFHQCD) approach, this behavior is controlled by the so called
reparametrization function, $w_\tau(x)$, which is not fully determined from
first principles. We show that, owing to the flexibility of $w_\tau(x)$, the
large-$x$ profile $u^{\pi}(x)\sim (1-x)^{2}$ can be contained within the LFHQCD
formalism. This is in contrast with a previous LFHQCD study~(Guy F. de Teramond
et al., Phys. Rev. Lett., 120(18), 2018) in which $u^{\pi}(x)\sim (1-x)^{1}$ is
found instead. Given our observations, augmented by perturbative QCD and recent
lattice QCD results, we state that the large-$x$ exponent of "2" cannot be
excluded.
