That is what I am betting would happen. Then they would only be out the listing fees on the sites that they didn't sell it through.
I know many places would not allow cross posting in the past - but that was when there were very few places on the internet and it would be easy to catch them. Nowadays, there are so many places one couldn't keep up with all the sellers and their wares!
When I was last in France I saw many styles of these carts/trolleys still in use. They are a staple item with open window and outdoor cafes, Brasseries and salons de thé.