Could it be possible that the FTX-Hacker / Drainer stake eth and/or do somehow harm to the network?

Quick thought and question:
Could the FTX-Hacker / Drainer just stake their (flagged) eth and let the rewards send to another adress and generate non flagged eth? Or are the rewards direktly paid to the stake-adress? So even he/she has no option to sell those tokens, he/she could make useable profit from it?
Another question:
Could someone with such a stake (illegally- / criminally acquired) do harm to the eth-network somehow?
submitted by /u/powerpimo
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