To systematically evaluate the synthesis potential of neutron-deficient superheavy nuclei (SHN, $Z$ = 104–113) through cold-fusion reactions, we conducted comprehensive theoretical investigations on 145 projectile-target combinations using the dinuclear system (DNS) model. Our calculations demonstrate that cold-fusion reactions exhibit maximum cross sections predominantly through 1–2 neutron evaporation channels, with optimal beam energies near the Coulomb barrier (excitation energies <30 MeV). Notably, several systems achieve peak cross sections below the Bass barrier, suggesting either limitations in the Bass potential formulation or substantial deformation-induced reductions in effective Coulomb repulsion. Our calculations show excellent agreement with existing experimental data, while revealing a weak positive correlation between neutron richness of projectile isotopes and fusion enhancement. For lead- and bismuth-based cold-fusion reactions, the evaporation residue crosssections (ERCSs) display characteristic linear suppression with increasing proton number of projectile isotopes ($\mathrm{\Delta }Z=9$ corresponds to $\approx {10}^6$ reduction in ERCS). This systematic behavior originates from dual suppression mechanisms: diminishing fusion probabilities and progressively lower fission barriers in heavier SHN products. Quantitative analysis of the contact potential ($V_{\mathrm{in}}$) reveals a linear dependence on the projectile-target proton number product ($Z_{\mathrm{P}}\times Z_{\mathrm{T}}$), with neutron-rich systems exhibiting systematically reduced $V_{\mathrm{in}}$ values. Intriguingly, in configurations where $V_{\mathrm{in}}<V_{\mathrm{S}}$ (saddle point potential), precapture nucleon transfer processes may dominate reaction dynamics. Based on the DNS model, we identify promising projectile-target combinations and energy windows for synthesizing unknown SHN with cross-sections. The comparative analysis identifies cold fusion as the preferred method for synthesizing proton-drip-line nuclei in the $Z$ = 104–113 region due to its clear advantages over alternative approaches. This work provides a quantitative basis for future experiments targeting the neutron-deficient region of SHN synthesis.

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• Low & intermediate energy heavy-ion reactions
• Nuclear fusion
• Nuclear reactions
• Synthesis of new superheavy elements
• A ≥ 220