  We calculate the $m_\varrho / f_\pi$ ratio in the chiral and continuum limit
for $SU(3)$ gauge theory coupled to $N_f = 2,3,4,5,6$ fermions in the
fundamental representation. Keeping all systematic effects under full control
we find no statistically significant $N_f$-dependence; $m_\varrho / f_\pi =
7.95(15)$. Assuming the KSRF-relations we conclude that 3 other low energy
quantities related to the vector meson are also $N_f$-independent within errors
including the $\varrho\pi\pi$ coupling $g_{\varrho\pi\pi}$. If the model is
thought of as a strong dynamics inspired composite Higgs model our results
indicate that the experimentally most easily accessible new composite particle,
the vector meson, and its properties may be robust and independent of the
fermion content of the model as long as the gauge group is $SU(3)$, provided
$N_f$-independence extends all the way to the conformal window.
