The available evidence both for and against the existence of non-collinear spin structures in 3d-based amorphous ferromagnets is assessed, and supplemented with the results of an extended ⁵⁷Fe Mossbauer study of two series of post-production treated materials. Mossbauer spectra of as-received, stress-relieved and field-annealed ribbons of Fe₇₈B₁₃Si₉ and Fe₄₀Ni₄₀B₂₀ were recorded in zero applied field at room temperature for a number of angles of inclination between the gamma -ray beam and the normal to the ribbon plane. The resultant data were compared with four different moment distribution models: (i) a single uniform moment, (ii) an ellipsoidal distribution, (iii) a wedge-shaped distribution, and (iv) a two-moment domain model. None of these models provided an adequate description of the non-annealed ribbons, whereas model (iii) fitted the annealed Fe₇₈B₁₃Si₉ ribbons and model (iv) fitted the annealed Fe₄₀Ni₄₀B₂₀ ribbons. It is concluded that there is cumulative evidence in favour of ambient non-collinear spin structures in some annealed as well as non-annealed metallic glasses, but that the scale of the moment correlation lengths remains unresolved.