If solar were free, but we still needed to pay for battery storage, how would it then compare in cost to fuel-based alternatives (fossil fuel, nuclear etc)?
People use way too much power for battery storage to be viable. The average household consumes 28.9kwh in a day (in 2017), which is way more than rooftop solar can provide. Maybe when we have smaller houses and don't have a bajillion devices plugged in all the time.
Maybe in the USA.
> which is way more than rooftop solar can provide.
Maybe in your part of the world this is true, but it is not unrealistic in many places.
Also, why are you limiting your thinking to rooftop solar?