High-accuracy $Upsilon$-meson photoproduction data from EIC and EicC experiments will allow the measurement of the near-threshold total cross section of the reaction $gamma ptoUpsilon p$, from which the absolute value of the $Upsilon p$ scattering length, $|alpha_{Upsilon p}|$, can be extracted using a Vector-Meson Dominance model. For this evaluation, we used $Upsilon$-meson photoproduction quasi-data from the QCD approach (the production amplitude can be factorized in terms of gluonic generalized parton distributions and the quarkonium distribution amplitude). A comparative analysis of $|alpha_{Upsilon p}|$ with the recently determined scattering lengths for $omega p$, $phi p$, and $J/psi p$ using the A2, CLAS, and GlueX experimental data are performed. The role of the young vector-meson effect is evaluated.