For the most part, the cost of production is what matters. If Chilean lithium costs $x and US lithium costs $3x then it doesn't matter how is in the ground in the US, the lithium will come from Chile.
Practically, once prices become 3x of current, that's what everyone will pay on average, it just means (in this thought experiment) that some miner sourcing from America is marginally profitable, while some miner from South America is very profitable.
If this stuff is more expensive than Bolivian lithium, we won't do more than tinker with it until it's not, and consequently I wouldn't expect it to have much impact on the price curve — we'll all still be buying the same stuff until then.