That is not correct, and doesn't even pass the sniff test. Solar is deployed at ~$2/watt and you're saying batteries are increasing that cost 2.5x to 10x? So, someone installing a home battery system is paying up to 10x their solar install cost to also have battery backup? No way.
Also, battery tech continues to improve rapidly, we're seeing breakthroughs like this rapidly reduce the price: https://spectrum.ieee.org/co2-battery-energy-storage
A good video on LCOE: https://www.youtube.com/watch?v=i-891blV02c