Weak Gravitational Lensing and the S8 Tension in BFUT: Why Late-Time Clustering Inference Is Not a Unique Test of Lambda-CDM

Weak lensing surveys including KiDS, DES, and HSC consistently measure S8 approximately 8% below the Planck CMB prediction - a deficit confirmed at 2 to 3 sigma across independent instruments and sky regions. Lambda-CDM has no straightforward internal explanation. Under BFUT, this deficit is the natural consequence of angular momentum accumulation in a living rotating universe: low-redshift structures have had longer to develop rotational support, suppressing their effective clustering amplitude. Proof-of-concept simulations reproduce the 8.3% deficit at the KiDS effective redshift and the smaller deficit at the CMB lensing redshift in a single mechanism. A further suite of five tomographic likelihood simulations demonstrates that S8 is a model-sensitive compressed inference whose value shifts by up to 0.0265 from scale cuts, intrinsic alignment modelling, and sky coverage alone - a shift comparable to a substantial fraction of the claimed tension. The paper also shows that weak lensing, SZ cluster abundance, redshift-space distortions, and peculiar-velocity measurements are different observational faces of the same late-time clustering suppression problem, all naturally explained by the BFUT rotational mechanism.