One can use the thing as is for about 50 cycles w/no external cooling, cuz the mass of the starting h2o so overwhelms the mass of the o2 going through it.
But all good things come to an end.
Sooner or later, the starting biome starts to heat. And sooner or later, that wildly hot o2 exiting from the Hernandez-variant o2 prod starts to heat the water up too much.