critical mid-rho smooth-spike advantage is +0.06408 +/- 0.00170 with 95% CI [0.06076, 0.06741], critical mid-rho eigengap advantage is +0.04652 +/- 0.00191, and the high-rho rebound is +0.13394 +/- 0.00305; all three remain 100.0% sign-consistent across 59 completed payloads.
Smooth spikes consistently outperform localized block spikes in the Toeplitz-correlated background, especially in the critical mid-correlation regime. The simultaneous gains in alignment and eigengap show that the effect is not merely cosmetic: the leading component becomes both more interpretable and better separated from the bulk. The large high-rho rebound suggests that long-range noise correlations do not erase the smooth-spike advantage and may even re-expose it after the mid-rho dip. The implication is that matched smooth structure is the right localization target when spike recovery is attempted in strongly correlated covariance models.
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