  We exploit the so called atomic condition, recently defined by De Philippis,
De Rosa, and Ghiraldin in [Comm. Pure Appl. Math.] and proved to be necessary
and sufficient for the validity of the anisotropic counterpart of the Allard
rectifiability theorem. In particular, we address an open question of this
seminal work, showing that the atomic condition implies the strict Almgren
geometric ellipticity condition.
