Hydrogen-air batteries already exist and work extremely well. I think we are approaching the end of people seriously trying to make a new novel type of metal-air battery. Stuff like these are probably the last of its kind.
BTW, hydrogen-air battery = hydrogen fuel cell, if you didn't realize that.
I think this is a likely outcome too. There was a paper recently (it may well have been Form that produced it) that examined this area of long term storage for the grid in a technology neutral way.
Basically, if you're cycling regularly (e.g. smoothing solar and wind over a day) then Lithium is already pretty good and you can expect it to get bettwr as it scales out to the entire automotive industry and indeed those car batteries will be fed by the grid and can also act as short term storage and demand management.
If you cycle less regularly though, storing power for weeks or more then you need something much cheaper than lithium can ever be but if you're cheap enough you can sacrifice some conversion efficiency and still be useful in a 100% renewable grid.
This is where flow batteries are targetting, you can have a small/cheap "converter" but store the energy in tanks longer term.
But as you say, thats also basically what you can do with hydrogen/ammmonia. And as an added bonus you can buy sell hydrogen/ammonia on the open market as it's used for other purposes, which lets you insure against under/over production and take advantage of economies of scale on the converter and storage parts.
As a final bonus, during the transition you can add a percentage of hydrogen to existing gas turbines to reduce their carbon intensity and GE and other sell turbines that are built to run on gas, hydrogen/gas mixes and also pure hydrogen. This gives an easy ramp up as a carbon price and/or minimum targets can kickstart the green hydrogen industry without any particular customer needing to bear 100% of the cost.
Methane from waste can also be used as a source of hydrogen, making it carbon negative, with a promising tech looking to generate solid carbon in the form of graphite. But even if you released the carbon I to the air it's better than releasing the methane.
The efficiency of a complete cycle of storing then retrieving energy into hydrogen is quite low and there are thermodynamic reasons (due to the phase changes between liquid and gas) that limit the achievable efficiency.
Hydrogen might be a possible choice when high energy per mass or power per mass is desired, but it is a very bad choice for the purpose of this new iron-air battery, i.e. stationary storage with very high energy capacity and very low cost.
Iron-air might indeed be the best choice for medium-time energy storage, with low cost and good full-cycle efficiency.
For very long energy storage times, e.g. years, synthetic hydrocarbons would be preferable to hydrogen, due to much easier storage and handling.
All metal-air batteries have similar thermodynamic properties. If you can make a iron-air battery with good efficiency, than you can make a hydrogen-air battery with good efficiency too.
Since water is significantly more available than just about any other material, hydrogen-air cells should be the ideal battery for anything that isn't volume limited. Which is frankly a lot of cases. Unless there's some specific need for an iron-air battery where hydrogen-air can't be used, it's hard to conceive of a situation where we wouldn't use hydrogen-air.
Synthetic hydrocarbons are basically extensions of hydrogen electrochemistry. You are just adding carbon to the hydrogen made with the electrolysis step of a hydrogen-air battery. It's even possible to make a hydrocarbon-air cell such as direct-alcohol fuel cells or solid oxide fuel cells.
You are right about metal-air batteries, but IIRC hydrogen-air ideal efficiency is still significantly lower than the ideal efficiency for carbon-air (using fuel cells with solid carbon) or metal-air batteries.
You are also right about synthetic hydrocarbons. The extra hydrocarbon synthesis step lowers the total efficiency, compared with using hydrogen.
Nevertheless, the lower efficiency is more than compensated by the simpler methods used for storage and handling, which require much less expensive materials and a much lower volume and total mass.
The benefits of using hydrocarbons for long-term energy storage have been amply demonstrated by the living beings that have been using this method for billions of years, many of which can easily achieve an autonomy of months without eating, while doing activities that would make a present-time robot using batteries inoperational after a few hours at most.
As I understand, the byproduct of a carbon-air cell is carbon dioxide. This doesn't mean such a cell can't make sense, but it has some fundamental downsides that are hard to mitigate. It will requirement a very specific form of carbon capture where the result is hard carbon for such cells to make sense.
That might be partially true. Especially in the case of hydrogen-to-ammonia where the process of conversion is much more straightforward. However, storing hydrogen in salt caverns for years at a time is already proven. So further conversion steps might not prove any real value except where volume of storage is important.
I've got a friend who was CEO of a hydrogen fuel cell company. They went bust because the systems are too expensive - like a iphone recharging pack was £150 to buy £5 to recharge vs about £10 and £0 for li ion. Cost is important here.
BTW, hydrogen-air battery = hydrogen fuel cell, if you didn't realize that.