  We show that a finite non-vanishing ghost dressing function at zero momentum
satisfies the scaling properties of the ghost propagator Schwinger-Dyson
equation. This kind of Schwinger-Dyson solutions may well agree with lattice
data and provides an interesting alternative to the widely spread claim that
the gluon dressing function behaves like the inverse squared ghost dressing
function, a claim which is at odds with lattice data. We demonstrate that, if
the ghost dressing function is less singular than any power of $p$, it must be
finite non-vanishing at zero momentum: any logarithmic behaviour is for
instance excluded. We add some remarks about coupled Schwinger-Dyson analyses.
