Does electrolysis require more electricity than it generates at this point?
The point of electrolysis is that it could be used as "clean energy storage" for other clean energy (e.g., solar). Hydrogen gas can be moved long distances, unlike other storage options that are more stationary (like a hydroelectric dam), and has higher energy density (120 MJ/kg for what I can find online) then even the best batteries available (2.54 MJ/kg for Lithium-ion nanowire?).
[1] https://en.wikipedia.org/wiki/Mechanism_of_sonoluminescence