  We investigate the asymptotic safety scenario for a scalar-gravity system.
This system contains two avatars of the dynamical Newton coupling, a
gravitational self-coupling and a scalar-graviton coupling. We uncover an
effective universality for the dynamical Newton coupling on the quantum level:
its momentum-dependent avatars are in remarkable quantitative agreement in the
scaling regime of the UV fixed point. For the background Newton coupling, this
effective universality is not present, but qualitative agreement remains.
