The key issue is the charpy test requirement. A333 or API 5L either will work as long as the material is charpy tested to the min design temperature. A333 charpy test is the standard requirement, while API is optional except for selected material at 32 deg F. Thus may not be good enough for your application unless you specify the charpy test temperature requirement.
Normal operating condition for liquid propane may be at room temperature. However, during startup and depressizing condition, the temperature may drop below minus 20 oF. To prevent britle fracture, charpy test is recommended to ensure the material can withstand the min temperature.