I don't see the reason to burn bitcoin, it already gets burned naturally through negligence and bad practices, as long as the hard cap is enforced and the issuance rate remains with consensus you don't need to try and drive deflation

I can understand burning a bitcoin for something like a drive chain to ensure there will never be a double spend but other than that, I can't see why you would want to get rid on future claims of productivity

This token burning gimmick is exactly that a gimmick for driving short term speculation leave that to the shitcoiners and fiat normies