No, it's a solid storage infrastructure, of which batteries are only one type.
Where weight and size do not matter, more choices for batteries are possible.
E.g. redox flow batteries.
https://spectrum.ieee.org/green-tech/fuel-cells/its-big-and-...
In the near future, atmospheric CO2 will be recycled to create organic fuel.
http://newscenter.lbl.gov/2017/09/18/solar-fuel-system-recyc...
https://www.purdue.edu/newsroom/releases/2017/Q2/instantly-r...
Solid state batteries are also interesting. Lithium-ion batteries will be replaced because they can develop dendrites and catch fire.
https://cleantechnica.com/2018/06/26/the-solid-state-lithium...
https://www.researchgate.net/publication/324734826_Non-Tradi...
https://hardware.slashdot.org/story/17/04/19/016213/the-slas...
That’s been around for quite a while already; you’re describing a tree.
If you have unlimited free energy in this near future, then maybe you can do what yoj say (or maybe electrolysis to produce hydrogen is better/more profitable).
Otherwise no, this won't happen.
Besides:
From https://lustysociety.org/ethics.html#climate:
Annual global fossil fuel subsidies amounting to $5.3 trillion in 2015 (6.5% of global GDP).
https://www.sciencedirect.com/science/article/pii/S0305750X1...
According to the Global Carbon Atlas: 36 183 million metric tons of CO2 emissions in 2016.
According to estimates in 2018 by Carbon Engineering and Climeworks: The cost of capturing 1 metric ton CO2 from the air costs $ 600 in 2018 and could fall under $ 100 in 5 - 10 years. A plant could make a liter fuel for a dollar.
At a cost of $ 600 per metric ton of CO2, the capture of the emissions of 2016 (36 183 million metric tons) costs $ 21 710 billion or $ 21.7 trillion.
At a cost of $ 100 per metric ton of CO2, the capture of the emissions of 2016 (36 183 million metric tons) costs $ 3 618 billion or $ 3.6 trillion.
The organic fuel should be used with batteries and fuel cells and not with combustion engines.
In order to decrease the CO2 concentration in the environment, the waste products must be contained and recycled later without release into the atmosphere.
But cynicism aside, the key to making renewables a practical base load replacement for fossil fueled plants is a solid battery infrastructure. And those batteries aren't 'car batteries' they are 'city batteries'. We really do want to get to the point where energy independence is possible so continuing to improve batteries is a good thing.
It is just hard for some people to prioritize without an imminent threat of disaster.