between this and protocol-level privacy improvements like taproot (and someday, cross-input aggregation), i see bright days ahead for bitcoin's fungibility.
it's easy to underestimate what the first version of Lightning channels has already done to improve BTC fungibility; using a Coinswap-like process, one can easily get most of the benefits of coinjoins/ring signatures without any of the drawbacks, and this can be done today, without any upgrades to the Bitcoin protocol. And taproot will (as you say) improve the privacy of lightning use even further (though at the on-chain level), resulting in increased fungibility of taproot based Lightning channels