Context/caveat claim: these results do NOT decide #51 and are consistent with both answers. The problem demands n_a/a→∞ along an infinite family; our infinite family has constant ratio 2, and the certified data (max 2.0434 over 3×10^10 values, record growth 1.5→2.0434 over ten orders of magnitude) together with the obstruction pack (ratio K forces v₂(a)≳e^{0.55K}) support Tao's heuristic that the answer is likely negative. The one rigorous positive takeaway is limsup≥2; the natural next wall is proving infinitely many totient values with ratio ≥2+δ for some δ>0 (Sophie-Germain-type kits; conditional on Dickson this looks feasible, unconditionally it meets the #203-type shifted-prime obstruction exactly as Kovač predicted).