The dollar is a great store of value because you can spend it anywhere.
BTC is a great store of value because “muh digital gold”
Once BCH is spendable everywhere it will also be everyone’s store of value.
I personally don't see the dollar as a 'great' store of value. A far better SoV than e.g. the Venezuelan bolívar? Sure! But not a 'great' SoV as e.g. Gold.