A takedown request can't easily trigger the majority to delete something, similar to how a hard fork request can't easily trigger the removal of something from the Bitcoin ledger. A globally illicit content can be naturally chosen to be rejected by the majority, but there should be no single coordination point by design.
Somewhat less importantly, if the file is from a block deep enough in the chain (so that a reorg is not possible) and the majority decides to delete it, it only gets deleted by the majority - the minority still keeps it because it remains incentivized by the protocol.
Somewhat less importantly, if the file is from a block deep enough in the chain (so that a reorg is not possible) and the majority decides to delete it, it only gets deleted by the majority - the minority still keeps it because it remains incentivized by the protocol.