If the currency is collapsing, who’s going to trade Bitcoin for the collapsing currency? That’s the necessary first step in this process.
If I’m just trying to cross the border with Bitcoin in my mind wallet so I can convert it back to cash on the other side, why does it matter if 1 BTC is $10 or $10,000,000? It doesn’t, because moving money round-trip through a currency is a matched pair of buy and sell trades in a short period. Net zero, long term.
This narrative that Bitcoin is somehow going to save refugees from oppressive governments is possible, but deeply flawed in practice. Either way, it’s not a long term driver of demand.
Frankly, it’s far more likely that the dictators of such countries would use Bitcoin to flee the country with their citizen’s money and avoid prosecution than the other way around.