This arXiv preprint (submitted May 2026, not yet peer-reviewed) proposes a single f(Q) = ζ Q^n framework incorporating Barrow holographic dark energy to describe both early-universe inflation and late-time acceleration. The authors reconstruct the Hubble parameter, compute slow-roll indices yielding n_s and r values inside Planck 2018 bounds (with notably suppressed tensor modes), then apply CPL parametrization plus MCMC sampling on Cosmic Chronometer plus Baryon Acoustic Oscillation data to constrain parameters. At low redshift the model tracks ΛCDM closely; mild deviations appear at higher z, with AIC/BIC favoring the new setup only modestly. The work correctly flags the unification but underplays how holographic entropy corrections might simultaneously ease the Hubble tension and σ8 discrepancy—tensions rarely linked in mainstream reporting. Compared with Planck 2018 results (A&A 641, A6) and recent symmetric teleparallel reviews (e.g., Phys. Rept. 2023), the model’s Barrow-fluid choice introduces an extra degree of freedom that relaxes fine-tuning yet risks over-flexibility; the MCMC chains lack explicit effective sample-size reporting, limiting robustness claims. By embedding both epochs in non-metricity geometry, the framework sidesteps separate inflaton and dark-energy sectors, a connection most observational summaries overlook.