Why is this bad? It is like a donation to all the people that hold bitcoin. So your bitcoin are worth more. The "attacking" miners are subsidizing the honest miners this way. Also dust amounts are easily filtered in the UTXO set. The only downside is a temporary spike in fees. If this is an attack, it is a badly thought out attack.
they have invite money supply
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They have infinite fiat supply, but not infinite btc supply.