No. Even discounting the explosion of prices of lithium, nickel and other materials needed in batteries due to wars and what not, there's already significant demand for batteries ( mostly to convert vehicles to EVs), which far outstrips supply. That's unlikely to change in the foreseeable future ( like a decade), so no, batteries won't continue to get cheaper.
I do have very little reason to doubt that costs for batteries won't come down drastically in the future. If it doesn't, it might just be an investment you make when owning a home.
Just thinking out loud here.
In any case, let's assume for the sake of the argument, that our industrial goes up 100x in energy: https://en.wikipedia.org/wiki/Kardashev_scale#Type_I_civiliz...
Can you run that on batteries, that are fundamentally constrained due to ion weight, and therefore are ultimately capped(page 2): https://iopscience.iop.org/article/10.1088/1755-1315/781/4/0...
Any significantly sized industry will require dense energy, situated nearby. There is a reason why China is building more nukes in the next 15 years, than the totality in existence globally today. Any other approach is Malthusianism.