I was thinking as varied as nature is on this mass (planet), and those which have been explored, that it seems likely there are many ways oxygen would be liberated from liquid water. Both anaerobic and aerobic respiration in plants cause it, but one requires CO2, if I recall, which they also seem to see as a "requirement" for organic life.
I thought some of the "latest news," that meteorites have been found, dating back some 4.3 billion years, IIRC, have been found with liquid water in them. Apparently it is now "shown" that meteorites of that approximate age were the source of liquid H20 on this planet, which was apparently molten at the time, and probably helped cool it. I believe that revelation was in the "other" presentation which I cannot name.
and and -> and
Added additional info...