James Webb Space Telescope observations have identified galaxies and an accreting black hole atredshifts implying they assembled substantial mass within a few hundred million years ofrecombination, a tight timing budget in any cosmology. This paper tests whether that budget can be met using two candidate mechanisms already in Pixel Theory's toolbox: a small residualscale-factor growth term, and a density-evolution term derived from applying apparent-horizonthermodynamics to the framework's postulated G(c) dependence. Both are tested using a properlymass-dependent seed perturbation amplitude and checked against a rigorous statistical ceiling onhow much preference for rare, high-density peaks can additionally buy. Results depend materiallyon which of two distance-redshift fits is used and on the assumed halo mass scale; the morenternally self-consistent fit closes the gap in most tested cases, the other does not.s**Currency note added at deposit**: this paper's growth equation (Section 2.1) was built on aresidual small-expansion correction to an otherwise static metric. The project has since adoptedgenuine metric expansion a(t) as the primary picture (see Paper 1, Paper 17), and this paper's owninternal note flags that its headline conditional-success conclusion in Section 6 likely does notsurvive re-running with the correct, friction-included growth equation. It is deposited fortransparency and as a record of the mechanisms explored, not as a currently-endorsed result; seePaper 17 for the corrected genuine-expansion cosmology this paper's growth equation shouldeventually be re-run against.