  It has been shown previously [PRD 88 (2013) 093005, arXiv:1310.1770] that a
non-perturbative relativistic constituent-quark model for the pi-meson
electromagnetic form factor allows for a quantitative description of the
soft/hard transition, resulting in the correct Quantum-Chromodynamical
asymptotics, including normalization, from the low-energy data without further
parameter tuning. This happens universally whenever the constituent-quark mass
is switched off. The energy range where the transition happens is therefore
determined by the quark-mass running at intermediate energies and is not
tightly constrained theoretically. Here we consider possible ways to pin down
this energy range with coming experimental data. We demonstrate that expected
experimental uncertainties of the 12-GeV Jefferson-Lab data are larger than the
span of predictions of the model, so these data might be used for testing the
model but not for determination of the soft/hard transition scale. Contrary,
the projected Electron-Ion Collider will be capable of pinning down the scale.
