  Let $A$ be a finite, abelian group. We show that the density of
$A$-extensions satisfying the Hasse norm principle exists, when the extensions
are ordered by discriminant. This strengthens earlier work of
Frei--Loughran--Newton \cite{FLN}, who obtained a density result under the
additional assumption that $A/A[\ell]$ is cyclic with $\ell$ denoting the
smallest prime divisor of $\# A$.
