  In \cite{gjha} we give a detailed analysis of spherical Hausdorff measures on
sub-Riemannian manifolds in a general framework, that is, without the
assumption of equiregularity. The present paper is devised as a complement of
this analysis, with both new results and open questions. The first aim is to
extend the study to other kinds of intrinsic measures on sub-Riemannian
manifolds, namely Popp's measure and general (i.e., non spherical) Hausdorff
measures. The second is to explore some consequences of \cite{gjha} on metric
measure spaces based on sub-Riemannian manifolds.
