1. The elites grab the crates and hoard them, leveraging their existing power to make sure they enrich themselves and extend their power. They sell the items, but at a lower price than the Earthly-produced items, which is easy since they have 100% margin.
2. Whether or not #1 happens, it becomes impractical to make any of these goods for a living, so people stop. Eventually, the factories are dismantled or simply crumble.
Now Earth is dependent on the aliens to keep sending the crates. If the aliens ever get wiped out, or just elect a populist who doesn't like to give aid to inferior planets, then we won't have any cars, or clothes, or computers.
(And yeah, I get it - no one "really" wants to work on a "soul-crushing" assembly/production-line... People want to make art (or games) or write novels... (both areas of creative work which are ALSO being targeted by AI)... but people definitely want to "eat" and have shelter and our whole system is built on having to pay for those priviledges...)
Around 1800, 95% of people worked on the farm. Today it is 2%. People do different things now.
Maybe it's better to let them decide what they want to buy.