Using OP_CHECKTEMPLATEVERIFY for Channel Factories is similar to the use for Congestion Control, except the leaf nodes should be set up as a channels instead of plain payments. The channel can be between the sender and recipient or a target of recipient’s choice. Using an OP_CHECKTEMPLATEVERIFY, the recipient may even give the sender an address which makes a set of channels unbeknownst to them.
These channels are already time insensitive for setup, as all punishments can be relative timelocked to the actual instantiation. This enables set-up of channels non-interactively in the case of a single funder.
This permits instant liquidity on the coins sent using this delayed method.