I fell like I'm missing a joke somewhere.
First off: what does electrolysis have to do with photosynthesis? If you want to store energy it's just as important with wind, or any other.
Second: photosynthesis and photovoltaics are not the same thing. They seem to confuse them quite a bit. And on top of that, this seems to have nothing to do with either of them - it's all about electrolysis.
Third: "Currently available electrolyzers, which split water with electricity and are often used industrially, are not suited for artificial photosynthesis because they are very expensive and require a highly basic (non-benign) environment that has little to do with the conditions under which photosynthesis operates."
Has so many errors I don't even know where to start.
a: electrolysis does not require a basic environment, it requires a salty one.
b: again mixing up photosynthesis and photovoltaics
c: there is no such a thing as artificial photosynthesis. Only plants know how to make hydrocarbons from water CO2 and light.
If someone actually did manage to create artificial photosynthesis that would be massive. Which is what I hoped to read about here, and then I didn't.
Fourth: they start off saying something about advances in solar power, and well? Where was the advance? All I see is something about electrolysis.
Fifth: "[plants] storing energy for use when the sun doesn't shine." Most plants don't actually do that. They don't store energy, they make hydrocarbons, which are not an energy source for them, they are the final product. (For us the hydrocarbon is energy storage.) There is the CAM photosynthesis cycle used by pineapples, which does actually store energy for later. But the only reason the pineapple does that is so that it doesn't dry out during the hot day, so rather it collects it's CO2 at night. This does not seem to apply here.
Someone: please tell me if I missed something massive, but this really looks like the kind of nonsense energy inventions you read about all the time. But, but, but it's on mit.edu!