We could back up the entire damned grid with these things at a cost small compared to the cost of powering that grid with nuclear power plants.
As for "not actually existing yet", that's not anything close to a valid argument. Also, hydrogen storage doesn't require anything new -- all the component technologies exist, they just have to be integrated. This is the easiest and surest kind of innovation. It would be nice if higher demand drive electrolysers down their experience curve some more, I will admit. Cheaper is always nice.
I really want this to be true, I just don't think it is.
I suppose you may be meaning there's no good upper bound on how bad the expected unexpected cost overruns in nuclear can be.
Given that, it gives me pause that you don't actually know that information, given how eager you are to represent your "knowledge" on this subject.
Hydrogen could also be stored in aquifers and depleted natural gas fields, just as natural gas is stored in those.
Geological storage like this involves very thick layers (hundreds or thousands of feet), so the leakage will be low in any case. If geological formations can trap methane for millions of years, they can trap hydrogen for much shorter times.