What the design load case determines
The design load case is the combination of pressure, temperature and other actions for which a piping system is dimensioned. Wall thickness, the pressure rating of flanges and valves and the choice of material all follow from it. It does not describe normal operation but the most severe condition the system has to withstand for sustained periods.
Pressure and temperature belong together here: what governs is the combination of coincident values that requires the greatest wall thickness or the highest rating.