Step 1: identify that you and at least one other node are separated by distance, and some lossy communication channel, and therefore form a distributed system.
Step 2: propose a source of truth that everyone can listen to. Hearing the same facts in the same order should put everyone in the same state (eventual consistency)
Step 3 (you are here): try to do better than EC, by merging the external queue into one of the nodes, making it the master.
Step 4: Now there's no distance between the nodes, so no need to solve the distributed systems problem and you can retire the queue.
eventual consistency as generally used doesn't guarantee that events are presented in the same order. I use 'monotonic consistency' for that, but idk how common that is.
Order independence/monotonicity is strong EC rather than regular EC.
Yes, same-ordering gives you EC, not the other round.