The 48 hours of battery would last a really long time as typically only about 12 hours will need to be used, thus you'd get very long cycle life. A battery used so lightly could get 10,000 effective full cycles, so probably would last multiples of 25 years from a cycle life perspective (calendar life may be another thing).
EDIT: If you add in geographical diversity and diversity in sources like wind, hydro, and geothermal, then you need to throw away a lot less energy and you need a lot less storage. IMHO, we should just bite the bullet and install a bunch of transmission lines (which could be done in 2 years, enabling us to decommission coal power within about 2 years in the US).
Even in equatorial Africa 48h is not enough. Neither for actual usage, nor for battery life (and no one ever got marketing-leaflet-aka-datasheet-stated lifetime out of them batteries). Two years max, and hope either the project dies, or the company dies, or someone steals the batteries.
Source: been there maintaning solar offgrid.
And then --- geodiversity can only make it worse, never better.
But you are right. I would downvote if I was wrong and laughed at.
we added a wind turbine as well which was great since some of the rainy stormy days had lots of wind. I don't understand my original posts parent's comment about (geo) diversity not helping.
To make it work, it's cheaper to throw away about 2/3rds of your energy than to build 150 hours worth of storage. Some amount of "curtailment" is going to be optimal, and in my case, because solar is so cheap and my starting assumptions allowed no other energy sources, a LOT of curtailment is used. Literally most of the energy is unused.
If you ignore massive curtailment as a possibility, then yeah, haha, it's not going to work.
Many countries like Israel have black water containers on top of every home to heat their water, so it stays there warm for the night.
Storing energy can be made in diverse and original ways, mostly adapted to the local constraints.
If solar + storage comes out cheaper than alternatives, it wins. Period. The market will insure that. If you don't think it is possible, you need to lead with actual numbers to support your case, not just gut feelings.