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No: If they validate blocks in both chains, their entire staking deposit is immediately destroyed (in both chains)

This is one of the main innovations in modern POS algorithms.

That is only true for coins that are recognized on both chains. In the event of a hard fork, all you need to do is send your hardforked coins to a new address, and then start staking from that address. You can then vote on both chains with your coins, and no penalty algorithms will punish you.

> all you need to do is send your hardforked coins to a new address

staking coins are locked for for a minimum 6 months.

If there is a hardfork and you're staking then I'd imagine you'll also be automatically staking on both chains, nothing to do. Hardfork only matter if you're transacting at the time of the fork, your transaction could be replayed on the other chain or if a reorganisation happens, in that case you may want to wait until the fork gets resolved.

You have now changed the game into how can I trick you into validating the wrong chain.

Not quite. Mining on the wrong chain doesn't penalize you, it's mining on multiple chains that does. Only a bad actor would mine on two chains simultaneously.

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