The balance between ordered rotation and pressure support is a central feature of gaseous galacticdisks, yet a one-variable measure such as V /σ does not fully describe how that balance changeswithin individual galaxies. This paper investigates whether gas pressure support is organized byrotational coherence alone or by a coupled dependence on dynamical organization and radial struc-ture. The rotational organization parameter is defined as Rorg = (Vrot/σ)2, and the fractionalpressure-support measure as F = (V 2c − V 2rot)/V 2c . Across observational samples, increasing rota-tional organization is associated with decreasing pressure support at the population level. A candi-date transition near Rorg ≃ 84 successfully identifies highly organized systems in an independentWHISP holdout sample, but it fails as a universal physical boundary when tested against regular,low-Rorg H i disks. Radially resolved LITTLE THINGS data further show that a one-variable localrelation between F and Rorg cannot describe all galaxies: the sign of the within-galaxy trend variesfrom system to system. Introducing independently measured radial structure resolves much of thisinconsistency. For the primary resolved sample, F/(1 − F) ∝ R−0.91org (r/Rd)1.82, with R2 ≃ 0.87when galaxy-specific normalization is allowed. Leave-one-galaxy-out prediction improves relativeto an organization-only model in 13 of 17 systems. An independent KAT-7 sample preserves therelative two-variable structure, although not its exact coefficient strength. Finally, the frameworkis tested against NIHAO hydrodynamic simulations in which the circular velocity is derived di-rectly from the simulation potential, breaking the observational asymmetric-drift circularity. Thelocked two-variable predictor retains the expected positive direction in all four simulated galaxiesand improves prediction relative to Rorg alone. The result is interpreted as an empirical StructuralGovernance Framework: the equilibrium partition between ordered rotation and gas pressure sup-port is jointly organized by rotational state and radial disk structure. The relation is not presentedas a universal fundamental law or immutable constant