We propose that Odd Radio Circles (ORCs), the giant ring-like radio structures discovered by ASKAP cite{Norris2021}, can be interpreted as local, observable manifestations of rheological activation within the Cosmological Dissipative Residual (CDR) framework developed across Papers I--IV. In this picture, major galactic mergers or intense starbursts release rest-mass energy through Einstein's mass-energy equivalence ($E = epsilon M_{m event} c^2$), inflating an expanding plasma bubble. As this bubble expands into the surrounding cosmological residual medium ($w_{m res} approx -1$), a sharp velocity and density gradient develops at the interface, generating significant shear ($sigma sim 10^{-14}$--$10^{-13}$ s$^{-1}$). This shear activates the pseudoplastic (shear-thinning) rheological response of the residual (Paper II), producing anisotropic stress $pi^{ij}$ that dissipates energy through turbulent processes. Part of this dissipated energy is converted into the isotropic residual component, contributing locally to the cosmological residual density, while another fraction accelerates electrons to relativistic energies via second-order Fermi processes, powering the observed synchrotron emission that forms the bright radio ring. Order-of-magnitude calculations using realistic astrophysical parameters demonstrate that modest conversion efficiencies are sufficient to sustain the observed radio luminosities ($10^{40}$--$10^{42}$ erg s$^{-1}$) and provide a concrete channel for the general production term $beta_{m prod}(z)$ introduced in Paper IV. ORCs thus function as natural, accessible laboratories where the transition from anisotropic stress to isotropic residual can be directly studied. This interpretation unifies phenomena across vastly different scales — from late-time cosmic acceleration and emergent dark matter (Papers I and II) to strong-field jet launching (Paper III) and continuous residual production (Paper IV) — within a single effective medium. It makes clear, falsifiable predictions regarding polarization morphology, correlations with star formation history, and possible weak lensing shear excesses, offering a promising avenue for future multi-wavelength tests with ngEHT, Euclid, and the Roman Space Telescope.