Proton radioactivity provides a sensitive probe of single-particle structure beyond the proton drip line, but global half-life descriptions are often limited by the approximate treatment of nuclear-structure effects. We find that introducing an $E_{\mathrm{mic}}$-dependent proton preformation factor within the transfer-matrix method (TMM) markedly improves the agreement with experiment and substantially reduces the sensitivity to the adopted proton-daughter potential. We perform a systematic TMM study of 45 established proton emitters from I to Bi using three representative interaction potentials, namely the Woods-Saxon (WS), cosh-type (Cosh), and Guo2013 proximity (Prox) forms. Starting from baseline calculations with $S_p=1$, we extract proton preformation factors nucleus by nucleus and, for each fixed-$l$ group, establish a linear correlation between ${log}_{10}{S}_p$ and the microscopic mass correction $E_{\mathrm{mic}}$, with uncertainties of the fitted coefficients estimated by Monte Carlo resampling. After including the resulting preformation factors, the root-mean-square (RMS) deviations in ${log}_{10}{T}_{1/2}$ are reduced from 1.088, 1.059, and 0.944 to 0.353, 0.352, and 0.343 for the WS, Cosh, and Prox potentials, respectively, while the three calculations converge to a common modified Geiger-Nuttall trend. We further predict proton preformation factors and partial half-lives for six candidate proton emitters with energetically allowed or experimentally indicated proton emission, providing quantitative benchmarks for future measurements and microscopic studies of proton radioactivity.

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• Models & methods for nuclear reactions
• Nuclear reactions
• Proton emission