Quoting Nigel Thornberry:" How do we know they're safe when they're being shipped to the store than? "
Because shippers and stockers can lose their jobs for throwing things around. Airline luggage people don't care, and it's their job to get everything on the plane as quickly as possible, regardless of whether that means throwing it or not.
I'm just saying. It's really not worth the risk IMO.
If you insist on having your LO as a lap child, why not just have whoever you're visiting, buy a seat to have when you arrive? And then reimburse them.