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This is a great question.
Wasabi is the hot wallet that has the best privacy. It can be run a continuous coinjoin that lasts for a month at the highest settings. I am not sure if it is possible to load a cold-wallet-created passphrase into Wasabi - but these posts seem to hint at it:
https://blog.wasabiwallet.io/how-to-integrate-wasabi-into-your-hardware-wallet-trezor-coldcard/
Note that trezor does not have a secure element so would not be the best destination - but you know you're physical security setup.
Wasabi has a really good discord chat.
If you find a working solution, can you post a howto guide here?
I have successfully loaded my wasabi wallet into Electrum but since electrum does not support taproot (segwit v1), I can only see the segwit v0 funds.
With electrum you can have two different wallets loaded at once, so you could semi automate this.
Both source and destination wallets would be cold. But the automation requirement probably means converting the source wallet to hot, which isn't too much of a problem if the intent is to abandon it after all UTXOs are transferred.