  We investigate the impact of the new measurement of the antineutrino-proton
scattering cross-section from the MINERvA Collaboration on generalized parton
distributions (GPDs), particularly the polarized GPDs denoted as
$\widetilde{H}^q$. To achieve this, we perform some QCD analyses of the MINERvA
data, in addition to all available data of the proton's axial form factors. We
demonstrate that MINERvA data lead to consistent results with other related
experimental data, confirming the universality of GPDs. Our results indicate
that MINERvA data can impose new constraints on GPDs, particularly on
$\widetilde{H}^q$. Our predictions for the proton's axial charge radius, WACS
cross-section, and axial form factor show good consistency with those of other
studies and measurements. This leads us to conclude that the result of a more
comprehensive analysis, considering all related experimental data, is not only
reasonable but also more reliable, even in light of existing tensions among the
data. The present study can be considered as a guideline for performing a new
and comprehensive QCD global analysis of GPDs including the MINERvA
measurements like that presented in Phys. Rev. D \textbf{107}, 096005 (2023).
