Unless you split the value so that BTC = BTCa + BTCb, there will be a change in the amount of "money" that exists, without any change in the amount of "value".

Unless you split the value so that BTC = BTCa + BTCb, there will be a change in the amount of "money" that exists, without any change in the amount of "value". When Bitcoin Cash came along the price of one of that plus a Bitcoin Vanilla was more than the price of a pre-split BTC, so everyone "made money". "quotes" indicate that you may argue that this isn't real.