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The promise to pay the bearer on notes still has some relevance. The Bank of England will exchange the no longer current five pound note you find down the back of the sofa for a current one.
The same isn't true for a round pound coin, the Royal Mint doesn't have to that for a 12-sided one. Apparently you can still exchange round pounds via a high street bank but I'm not sure about large 50ps etc.
If I loose a £1 coin I loose a £1 but does the Government win?
I can remember when notes used to say “I promise to pay the bearer the sum of £1” so I guess the Exchequer wins if this promise is removed but it can’t work out why.