This article presents a critical–propositional examination of Ozan Altıntaş’s cosmological model of transient domain-wall networks generated by spontaneous symmetry breaking, placing it in systematic confrontation with the Theory of Objectivity (TO). The study investigates the extent to which the proposed mechanism—intended to address the Hubble tension while simultaneously predicting a nanohertz stochastic gravitational-wave background—can be interpreted within the modal, ontological, and phenomenic discipline of TO. The analysis argues that Altıntaş’s model is physically fertile at the phenomenological level, especially in its treatment of cosmological boundaries, metastable network dynamics, and radiative memory. In particular, the article highlights meaningful compatibilities between the model and the Theory of Objectivity in relation to boundary ontology, relational plurality, composition, transcendence as radiative information, and the framework of the Inductor Effects. Domain walls are interpreted as phenomenic elements of differentiation, while gravitational waves are read as transcendent traces of prior relational reorganizations. At the same time, the article shows that the model does not achieve full modal sufficiency in the sense required by TO. Its central assumptions—scalar fields, vacuum structure, symmetry breaking, and bias-induced decay—remain physically suggestive but ontologically underived. The study therefore proposes that the model should be understood not as a first ontology of cosmic origin, but as a powerful regional cosmological hypothesis whose greatest strength lies in its phenomenological richness and potential testability. The article concludes that Altıntaş’s proposal offers a fruitful case for dialogue between contemporary cosmology and the Theory of Objectivity, especially regarding the relations among cosmological boundaries, late-time dynamics, gravitational-wave production, and the modal distinction between regional physics and foundational ontology. Keywords Theory of Objectivity; modal ontology; cosmology; domain walls; spontaneous symmetry breaking; Hubble tension; nanohertz gravitational waves; pulsar timing arrays; topological defects; phenomenic table; Inductor Effects; radiative transcendence; cosmological boundaries; critical-propositional analysis; Zenodo.