A note on the Hasse norm principle

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 $A\mathrm{/}A[\mathrm{\ell }]$ is cyclic with $\mathrm{\ell }$ denoting the smallest prime divisor of $\mathrm{\#}A$.