Firstly what is the word store of value;store of value is something that maintain its worth both in the present and the future.Money is a type of assets in an economy that you can use to buy goods and services from other people or businesses.One of the functions of money in an economy is that it's serves as a store of value.
A store of value is something people use to transfer purchasing power from the present to the future.
While money is an asset that can store value, and also Gold and silver for example, acts as store of value.
Since money is accepted as a store of value, trade is much more efficient.When an individual or business accepts money in exchange for a goods and services, the seller can store the money in a bank account and retrieve it later in the future.
I agree with your opinion that money as a medium of exchange for services and others and gold and silver money can be a store in the past and the future but money? I'm not sure about gold and silver. I agree that it can be a storage device in the future, but I don't think money is because day by day the nominal value of our money continues to decrease because it's called inflation because money is continuously being printed without any valuable backups. Money is only backed up with trust. So if money is said to be storage in the future I don't agree but as an efficient medium of exchange I agree