I see the distinction you’re making but a LN channel is still a deferment of final settlement. I think a better contrast would be LN channels defer an unknown final state within the bounds of channel capacity, while a CTV tree defers a known final state. Although a CTV tree could also have within it batch channels as well, so a CTV tree could hold both known and unknown final state of the deferred transactions.
In the case of mining pool payouts, the coinbase CTV tree could be optimistically updated every block the pool wins, assuming interactivity of the participants (LN assumes interactivity of participants too) by leveraging MuSig for the various nodes of the CTV tree. If all participants are online and interacting, the entire CTV tree state could be updated without the need to exit from the construct. Since mining is boolean, you’re mining or you’re not, a miner is already active with the pool so could optimistically participate in any protocol that requires interactivity.
Furthermore, since miners have the ability to make their own block templates, a miner could always include a 0 fee transaction paying themselves out of the CTV tree in the next block that is found.