H-4 child of a domiciled H-1B parent Yes — by published rule
Approved list (partial extraction): A-1/2, E-2, G-1–4, H-1B, H-2A/B, H-3, H-4, K-1/2, L-1, L-2, N-8/9 eligible for in-state status with domicile; F not approved. Whether O-1/TN/E-3 appear further down the list is unconfirmed.