script – How does CSFS rekeying/laddering prevent replay across UTXOs?

OP_CHECKSIGFROMSTACK(CSFS) ensures that signatures are checked against explicit messages rather than sighs of transactions.

This appears to allow the same (signature, message) pair to be reused in different UTXOs, as long as the message is not bound to a specific context.

Some discussions (e.g. Jeremy Rubin https://rubin.io/bitcoin/2024/12/02/csfs-ctv-rekey-symmetry/) mention rekeying or laddering configurations to mitigate this.

My questions are:

How exactly does CSFS laddering or rekeying actually prevent inter-UTXO playback?

What is the binding mechanism? Is it based on appointment linking, staged key updates, etc?