Cast Through Time doesn't work properly on split cards

[[Cast Through Time]] gives Rebound to split card on the stack, however the replacement effect does not seem to apply on the card movement.

Start by reproducing the interaction between Cast Through Time and a split card on the stack, then trace where Rebound is granted and where the card movement is handled. Confirm the replacement effect across the movement; done means the split card receives and correctly uses Rebound in the reported scenario.

Written by the indexing model from the issue text.