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Theoretically it would, because there are now fewer of them and the potential for them to circulate in future has been eliminated.
In practice, if someone died and their keys were lost, how would the market even know?
Think of it the other way round. If it was suddenly announced that there were going to be 42m bitcoins made, what would happen to the price?
It might. In theory it would by shifting the supply/demand balance but hard to split out the impact from other price movements.
Wouldn't work for fiat currency, eg the KLF burning £1m, as the supply isn't fixed