The environment around protoplanetary disks (PPDs) regulates processes which drive the chemical and structural evolution of circumstellar material. We perform a detailed empirical survey of warm molecular hydrogen (H 2 ) absorption observed against H I-Lyα (Lyα: λ 1215.67Å) emission profiles for 22 PPDs, using archival Hubble Space Telescope (HST ) ultraviolet (UV) spectra to identify H 2 absorption signatures and quantify the column densities of H 2 ground states in each sightline. We compare thermal equilibrium models of H 2 to the observed H 2 rovibrational level distributions. We find that, for the majority of targets, there is a clear deviation in high energy states (T exc 20,000 K) away from thermal equilibrium populations (T(H 2 ) 3500 K). We create a metric to estimate the total column density of non-thermal H 2 (N(H 2 ) nLTE ) and find that the total column densities of thermal (N(H 2 )) and N(H 2 ) nLTE correlate for transition disks and targets with detectable C IV-pumped H 2 fluorescence. We compare N(H 2 ) and N(H 2 ) nLTE to circumstellar observables and find that N(H 2 ) nLTE correlates with X-ray and FUV luminosities, but no correlations are observed with the luminosities of discrete emission features (e.g., Lyα, C IV). Additionally, N(H 2 ) and N(H 2 ) nLTE are too low to account for the H 2 fluorescence observed in PPDs, so we speculate that this H 2 may instead be associated with a diffuse, hot, atomic halo surrounding the planet-forming disk. We create a simple photon-pumping model for each target to test this hypothesis and find that Lyα efficiently pumps H 2 levels with T exc ≥ 10,000 K out of thermal equilibrium.