  In this paper, we consider a specific model, implementing the existence of a
fundamental limit distance $L_0$ between (space or time separated) points in
spacetime, which in the recent past has exhibited the intriguing feature of
having a minimum-length Ricci scalar $R_{(q)}$ that does not approach the
ordinary Ricci scalar $R$ in the limit of vanishing $L_0$. $R_{(q)}$ at a point
has been found to depend on the direction along which the existence of minimum
distance is implemented. Here, we point out that the convergence $R_{(q)}\to R$
in the $L_0\to 0$ limit is anyway recovered in a relaxed or generalized sense,
which is when we average over directions, this suggesting we might be taking
the expectation value of $R_{(q)}$ promoted to be a quantum variable. It
remains as intriguing as before the fact that we cannot identify (meaning this
is much more than simply equating in the generalised sense above) $R_{(q)}$
with $R$ in the $L_0\to 0$ limit, namely when we get ordinary spacetime. Thing
is like if, even when $L_0$ (read here the Planck length) is far too small to
have any direct detection of it feasible, the intrinsic quantum nature of
spacetime might anyway be experimentally at reach, witnessed by the mentioned
special feature of Ricci, not fading away with $L_0$ (i.e. persisting when
taking the $\hbar \to 0$ limit).
