That’s correct. Electro-chemical storage is not limited by the Carnot efficiency limit like combustion engines are. Conversion losses should be a huge factor in choosing energy storage.

The fertilizer that’s propping up our unsustainable factory farming is created using the Faber process that turns methane and nitrogen into ammonia. Food prices are lower because methane is cheap as a byproduct of oil refining. It might be cool to instead take carbon out of the atmosphere and then convert it into fertilizer to grow plants that remove even more carbon from the air.