One-σ scatter of the temperature (A), electron entropy (B), gas pressure (C), and gas density (D) line-of-sight profiles grouped into the filament (teal color) and off-filament directions (orange color) in the TNG300-1 simulations. All four profile types show a strong discrepancy in the two directions. In addition, we plot the T > 10⁶ K gas density profile in the off-filament direction in magenta in panel D. The hot gas is confined by the accretion shock within 3 × r_200m.