A lightning channel open and close can be inside a coinjoin.

You can make onchain payment batching in Wabisabi coinjojns as well.

Coinjoin is inherently onchain, so we'll need other privacy protocols for lightning (blinded paths are a big improvement)

We've various options beyond Wabisabi:

-PayJoin and LN: https://chaincase.app/words/lightning-payjoin

-Lightning CoinJoins: https://thebitcoinmanual.com/articles/lightning-coinjoins/

Both options are in development