There are a lot of assumptions that people would have to make in answering that question. What is the assumed life of the battery vs the hydrogen electrolyzer

There are a lot of assumptions that people would have to make in answering that question. What is the assumed life of the battery vs the hydrogen electrolyzer and storage/distribution network? What are the maintenance requirements over that life? Are you assuming best-practice mine management or worst practice? What fraction of each battery can be recycled, and what fraction of batteries will in fact be recycled? How much leakage of hydrogen will there be and how many fires will happen, with the pollution that attends them? And so on and on. The simple answer is that both of them are way less bad than what we have now (fossil fuels), and commercially the world has chosen batteries.