My understanding is that hydrogen does not just come out of a well like natural gas. Its must be converted from hydro carbons. So depending on the conversion costs and pollution out put it may not make much difference.
However my understanding of such things is limited.
You get hydrogen through electrolysis. You run a lot of current through water and it splits into O and H.
It can be done that way or by electrolysis of water. If we achieve fusion reactors there will be fuel forever.