"It's okay when we do it."

But is it fundamental though?

The same can be said about transporting and storing hydrogen. You can't just use existing infrastructure. Hydrogen has to be kept under high pressure and it leaks out of most containers since it's the smallest element on the periodic table. Not to mention the energy density per volume (compressed) is much lower than gas.

Making hydrogen through electrolysis is possible and we've all seen it in school but it is pretty inefficient if you compare storing energy in a lithium battery to making hydrogen from fresh water sources. Not to mention liquid hydrogen, after being generated and compressed, must be transported which uses huge amounts of energy. And even given that, it's pointless to talk about green hydrogen when it's less than 1% of global hydrogen production and even optimistic projections don't show it growing that much in the following decade. It's also old technology meaning there isn't much room for improvement to the process, transportation and storage problems.

Hydrogen production is dominated by the fossil fuel industry because it is much more cost effective to extract it from coal and natural gas. Something like 6% of use of these fossil fuels currently go to hydrogen production.

I'm sorry where you live the power costs are so high. Hopefully things will improve with newer power infrastructure.

No, hydrogen just requires processing methane. How superior!

While you are right that it's not as simple as just current, batteries are typically not AC.