Measurement != store.
You can measure and exchange value with money (in fact that was the main purpose of money, to begin with) it wasn't until later (with gold, etc) that money evolved to being a store of value... It evolved further to be able to seek economic rents (interest) of that value as well. All of these are in addition to, the medium of exchange. They are separate functions, not inherent.
"A store of value is the function of an asset that can be saved, retrieved and exchanged at a later time, and be predictably useful when retrieved."
"The most common store of value in modern times has been money, currency, or a commodity like a precious metal, cryptocurrency or financial capital. The point of any store of value is risk management due to a stable demand for the underlying asset. Money is one of the best stores of value because of its liquidity, that is, it can easily be exchanged for other goods and services.[1] An individual's wealth is the total of all stores of value including both monetary and nonmonetary assets.[2]"