Toy p=1/3: split=505585/531441, OR projection=505585/531441, homogeneous quotient=5137/6561.
Toy p=1/2: split=4077/4096, OR projection=4077/4096, homogeneous quotient=239/256.
All 4096 split configurations preserve RAF existence; 4077 witnesses lifted.
Complete peeling histories have identical count polynomials across 256 configurations.
Finite catalytic estimates use n=6, 256 trials per intensity; they are not the limiting survival curve.
34 gateways bound finite RAF existence; 30 productive gateways bound infinite survival. Food-only RAFs are retained.