Have you profited money if the price of one of your assets doubles and you do not sell?
The reason it is "unrealised" until that point, is that you could instead simply hold until/if the price of Bitcoin (priced in fiat) rises past the level you bought it at, and still sell at a profit (in real terms if you account for inflation, or in nominal terms if you don't).
Then that would be a realised profit.
Hence the distinction between unrealised and realised.