The byproducts of burning hydrogen as a fuel produce the strongest greenhouse gas known to man.
Agree. I've looked into using hydrogen to power a fuel-cell as a backup generator. That wouldn't be burning, but would be clean (water byproduct).
I've thought about it, but it would be too expensive, to have an electrolyzer powered by my home solar after my batteries are charged and I still have excess solar coming in. The idea would be to generate hydrogen gas, have that stored in a tank away from the house (perhaps in the ground), then when my solar inverters need power for the home and my batteries are drained, run the fuel cell to generate power from hydrogen before giving up and pulling power from the grid (which adds to my power bill).
What it would do for me is store energy long term to help get through winter months (unlike battery power which degrades if stored more than a couple of days). But it'd be expensive, and my power bills now already average less than $78/month (for an all-electric house, including charging the EV for 1,500 miles/month).