> Should the daily stock prices (once the currency is converted)...

> Should the daily stock prices (once the currency is converted) run parallel to each other? Yes, more or less.
> Can ALTM raise one day and LTM fall? Yes, although big differences between LTM and ALTM are most likely to happen out of NYSE hours if there is an external event, or a late announcement, that happens when NYSE is closed. For example, China puts a huge subsidy on EVs while the NYSE is closed, LTM (and most other lithium stocks) could rise irrespective of what ALTM did overnight.
> Can ALTM raise one day and LTM fall? Yes, buyer (and seller) beware.
> What keeps them together if they are running on totally different platforms? Traders and/or investors who want to make money but not lose too much money, i.e. market forces.

Best to keep in mind that the primary listing is on the NYSE, so that is where the liquidity will be, most of the buyers, sellers, shorts, and longs. That is why I keep saying the big dog (ALTM) will wag the tail (LTM). We are more or less at the mercy of what happens on the NYSE.