As I note from the procedure described, the temperature is above the atmospheric temperature for water, therefore the hydrolysis tubes are pressure vessels. If you were to do the hydrolysis at one atmosphere, then you need to double the reaction time.
I don't know the stability of different plastics at different conditions. You cannot use nylon as it is a polyamide and would hydrolyze. Other plastics may be not hydrolyze, but could distort over time, so glass would seem more stable.