I don't think they're similar at all. LiteFS uses Consul to elect a leader for a single-write-leader multiple-replica configuration, the same way you'd do with Postgres. rqlite (as I understood it last time I looked) runs Raft directly; it gets quorums for every write.
One isn't better than the other. But LiteFS isn't a "distributed SQLite" in the sense you'd think of with rqlite. It's a system for getting read-only replicas, the same way you've been able to do with log shipping on n-tier databases for decades.