Symmetric Unimodality for Real Free Convolution Powers

We derive preservation of symmetric weak unimodality under every real free additive convolution power t >= 1, without support, moment or density assumptions. The essential input is the Cauchy-transform inequality in Anonymous's unrefereed preprint Symmetric unimodality under free additive convolution (2026), DOI 10.5281/zenodo.22649756. We prove an exact transport identity for its inequality defect along power subordination. Consequences include preservation under free compression and an interval description of the unimodal times of a symmetric free Levy process. Combined with an example of Hasebe and Sakuma, this gives a symmetric freely infinitely divisible law whose powers are unimodal exactly for t >= 1. This is a dependent continuation of the cited transform inequality, not a new proof of the original pairwise symmetric-unimodality conjecture. The threshold construction is existential; it does not evaluate an explicit density or onset time. The note is self-audited, AI-assisted and unrefereed.