But if you go deeper in the meaning of money, it's even better: when you receive money, what you actually receive is an IOU for a good or a service. E.g. when you receive $40 for fixing a computer, it means the society owes you $40 that you can claim at any time. Burning the $40 means that you fixed the computer for free, and that you don't want anything in return, and at the same time nobody can claim the $40 in your name (i.e. you didn't give the money away).
The "you should buy anything to move the economy" is a well known economic fallacy.
The result is intended to be a rise in price, benefiting all holders. It can be uncertain to assess whether a resultant rise in price is actually due to a coin burn, but given a coins supply is commonly used as a valuer, it's plausible.
Can an economist tell me please?