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Some characters' invincibility frames expire before any hitboxes can connect or they can get anywhere. Lucas' getup attacks are punishable after the invincibility frames expire and before his hitbox comes out, for example.jumping/rolling/attacking all give you additional invincibility frames
In order to do this they have to wait till they lose invincibility, and in that case I think down smash will connect before they can drop. I'd test this out but I don't actually own the game myself.And they could also just drop and regrab or fall backwards and jump around.