The equivalencies you are drawing make common usage of the term 'nacreous' as obsolete as the term 'non-nacreous.' Who's going to rewrite the book?
Perhaps, but if nacreous goes poof, so does non-nacreous by default.
We build dams from concrete and steel. Beavers build dams from sticks and mud. Nature builds dams from rocks. Let's say I built a dam from a random material... lets say glass, does this mean it's no longer a dam but something else? No, that would be absurd.
We do agree on the main premise. Largely being nacre is aragonitic. To suggest nacre is exclusive to other characteristics of aragonite except one, is equally absurd.
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The crossed-lamellar microstructure in mollusk shells, originally identified by Bøgild in 1930, is one of the most common types in shells, which can be found in more than 90% of the species; for example, it is the majority both in gastropods and bivalves, and the only microstructure in scaphopoda (Carter, 1990; Almagro et al., 2016).
Such a crossed-lamellar structure can be classified as platelet-like or fiber-like structure based on the shapes of building blocks (Li et al., 2017). The microstructures and the related mechanical properties of
Stombus gigas or
Busycon carica shell with three fiber-like crossed-lamellar macrolayers have drawn considerable attention of investigators (Li et al., 2013, 2015, 2019; Romana et al., 2013; Osuna-Mascaró et al., 2014; Shin et al., 2016; Salinas et al., 2017; Li and Li, 2019), where three macrolayers are arranged in a 0°/90°/0° mode. The existing research findings have demonstrated that the mechanical properties of such a 0°/90°/0° mode for crossed-lamellar structure are dependent upon the existing of organic matrix (Menig et al., 2001; Osuna-Mascaró et al., 2014; Li et al., 2015)
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Clearly the author draws a conclusion
similar, not exclusive to other aragonitic structures. They also define it's presence in 90% of molluscan species.