POS: disincentive to self custody?

EthereumEthereum
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self.ethereum
So I understand people will now be encouraged to stake their ETH. New ETH will be distributed to the staking pools and those holding in self custody (e.g. in ledger hardware wallet) wont benefit from the new ETH being distributed. I'm holding my ETH in a hardware wallet, I'm really disliking this change as I really dont want to be forced to send my ETH to stake it (I dont have 12 or whatever the amount is) Is it just me or does this not go against the "not your keys not your ETH" principle?