I agree with you that the goals of Russia invading Ukraine wasn't mainly for rare earth metals, but this reason became essential later in negotation file with USA and Europe. Russia first goal is to forbid NATO from setting power army in its frontieres after Ukraine showed its ambitions to join the military ally with NATO. Putin decided to invade Cremea before invading all other regions to create like a safe armyless land between the two countries. Usually there is no single reason to start a war.
The argument between Trump and Zelensky during his visit to America, as well as Trump's pressure on Zelensky to end the war, stemmed from Ukraine's inability to pay the war costs incurred by the United States. The rare earth mineral map Zelensky provided was based on Soviet-era mineral data and has not been verified by modern means. Most of Ukraine's rare earth reserves are based on Soviet-era geological surveys and have not been revalidated since Ukraine's independence. The majority of deposits, including those containing rare earths and lithium, are located in areas under Russian control. Zelensky offered Trump a winning plan, while the reality is that rare earth reserves are virtually non-existent. These reserves may not be economically viable due to high extraction costs and the need for advanced refining technology. Therefore, none of Ukraine's rare earth reserves are internationally recognized as economically viable.
Do you mean that Ukraine had no way to encourage USA but to offer its rare metals map in exchange for logistic and military support? I think you have a point here. All the facts valid what you just said. Those metals are not economically considered accessible so neither Trump or Putin looks really interested on them. While Zelensky has no other offer to give mainly to US because he already garanted the continious support from Europe for geostrategic reasons.