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I suggest that any proposal that suggests burning tokens start with 2 strikes against it.
Let's get into why - you mention this but a lot of systems DO burn supply to keep it rarified. A decentralized exchange (I will leave out the name), for instance, burns it's transaction fee's or a % of them. I'm aware there's con's to this also but why not elaborate on them? There will be others who see "burning" tokens as an "increase in the remaining token value" and go for it immediately.