Before we go too far down the rare earth & other ores debate, ores are the deposits which are economic to extract these elements from, what surrounds them are usually more deposits which are currently uneconomic but may become so due to a raise in prices, or, a change to a more efficient extraction technique.
Available ore deposits are also a bit tricky to define, because as soon as the price rises then exploration increases & more will be found & possibly come into production.
Also, eventually recycling will become the most important ore source for some of these elements as they are not consumed in the same way that a fossil fuel is consumed, they are still in the same place they were put within batteries, motors etc.