H-4 child of a domiciled H-1B parent Yes — by published rule
Intent factor: possession of a visa permitting indefinite residence. UW System eligible list: A, E-1/2/3, G, H-1B, H-4, K, L-1/2, NATO, O-1, O-3, P, R, S-5/6, T, U, V (or LPR 12 months before term). F, J, B, M, TN absent = ineligible. Came-for-education presumption must be overcome.