This article presents a critical–propositional analysis of Robert Spychalski’s ONE AXIOM: COSMOLOGY (4.2): Dark Matter, Dark Energy & Large-Scale Structure — Geometric Derivation of ΛCDM Parameters from OCR/OER Duality, in dialogue with the Theory of Objectivity (TO), developed by Vidamor Cabannas and Denivaldo Silva. The study examines the extent to which Spychalski’s proposal, based on the primordial symmetry and on the OCR/OER dual methodology, can be interpreted in confrontation with the seven modal axioms of the Theory of Objectivity, the Inducer Effects, the cosmogonic theorem, and the cosmological Eras of TO. The article argues that ONE AXIOM presents a strong field of dialogue with TO because it seeks a non-phenomenological, geometric, relational, and informational foundation for cosmology, especially regarding dark matter, dark energy, baryon asymmetry, inflationary parameters, and large-scale structure. At the same time, the analysis identifies important tensions: ONE AXIOM begins from a formal symmetry rather than from logical Nothingness; it adopts a system–observer duality rather than the triadic observational requirement of TO; and it does not explicitly derive its constants from the modal necessity of the Seven Absolute Truths. The article concludes that Spychalski’s work may be read as a relevant formal bridge for contemporary cosmological dialogue with the Theory of Objectivity, while preserving TO’s claim to a more fundamental modal-ontological foundation. This analytical text received analytical support from ChatGPT. Keywords: Theory of Objectivity; Vidamor Cabannas; Denivaldo Silva; Robert Spychalski; ONE AXIOM; cosmology; dark matter; dark energy; cosmological constant; ΛCDM; OCR/OER duality; modal ontology; logical Nothingness; Inducer Effects; cosmogonic theorem; cosmological Eras; baryon asymmetry; inflation; large-scale structure; information; atomic radiation.