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Is the project more or less dead, and totally overshadowed by Lightning?
It was never really alive in the first place.
In particular, I would be curious to know what are its relative merits/demerits against lightning, in terms of transaction convenience, fungibility of Sats, anonymity, privacy and trust model?
LiquidLightning
You have to trust the federation members to not rug you.Trustless
Fees scale with transaction size in bytes (better for larger payments)Fees scale with payment amount (great for tiny payments)
Payment amounts are private but addresses still traceableNo public ledger, receiver does not know who the sender is