Semiconductors spoiled us into thinking we could ride one technology idea down an exponential curve forever, but most technologies don't have that kind of progression. By the way, semiconductors didn't have that kind of progression either - chips from 10 years ago look very different than today's.
Nickel battery production has decreased as they're being replaced with Lithium batteries so they're no longer riding the experience curve.
Semiconductors have a relatively constant price per chip but a regularly decreasing price per transistor.
We need about 1000TWh for the clean energy transition, half for cars and half for the electrical. There might be better substitutes for the electrical grid, but cars are going to use something that looks a lot like a lithium-ion battery, like sodium ion.
So I figure we've got solid demand from our current 500GWh/year up until at least 32TWh/year or so, 6 doublings, which should lower the price by about 90%.
Look at the other side. Tesla's battery day announcement in 2021 promises 56% cost reductions in 4 years via 6 enhancements: silicon anodes, cobalt-free cathodes, dry electrode process, structural batteries, tabless electrodes, larger cells.
Only the dry electrode process is particularly innovative or risky, but the others still add considerable cost reductions. Not all of Tesla's innovations may pan out, but they're just one of many companies and Universities researching batteries, many of whom are more innovative than Tesla is.
Also, Tesla has a very spotty track record on predicting its own innovations (yes, even on battery design), so I wouldn't take that prediction too seriously.
There are a lot of reasons that would reduce the cost of batteries even if the mining+processing of Li didn't grow (which it will).