Dihadron and isolated direct photon-hadron angular correlations are measured in $p$$+$$p\( collisions at \)\sqrt{s}=510\( GeV. Correlations of charged hadrons of \)0.7<p_T<10\( GeV/\)c\( with \)\pi^0\( mesons of \)4<p_T<15\( GeV/\)c\( or isolated direct photons of \)7<p_T<15\( GeV/\)c\( are used to study nonperturbative effects generated by initial-state partonic transverse momentum and final-state transverse momentum from fragmentation. The nonperturbative behavior is characterized by measuring the out-of-plane transverse momentum component \)p_{\rm out}\( perpendicular to the axis of the trigger particle, which is the high-\)p_T\( direct photon or \)\pi^0\(. Nonperturbative evolution effects are extracted from Gaussian fits to the away-side inclusive-charged-hadron yields for different trigger-particle transverse momenta (\)p_T^{\rm trig}\(). The Gaussian widths and root mean square of \)p_{\rm out}\( are reported as a function of the interaction hard scale \)p_T^{\rm trig}\( to investigate possible transverse-momentum-dependent evolution differences between the \)\pi^0\(-h\)^\pm\( and direct photon-h\)^\pm\( correlations and factorization breaking effects. The widths are found to decrease with \)p_T^{\rm trig}\(, which indicates that the Collins-Soper-Sterman soft factor is not driving the evolution with the hard scale in nearly back-to-back dihadron and direct photon-hadron production in \)p$$+$$p$ collisions. This behavior is in contrast to Drell-Yan and semi-inclusive deep-inelastic scattering measurements.