Due to its excellent rubbing characteristics, hand-rubbed satin finishes are most commonly done in lacquer. (at least the top-coats anyway) However, the very characteristics that make lacquer ideal for rubbing, also make it more prone to unwanted blemishes, such as occurred on your piano.
That there are some marks from a moving blanket, after a 3,000+ mile trip (over 4,800 kilometers for david
) is not surprising. Still, it seems as though this is something that could/should have been discussed with you before prior to the move. That would have allowed you and the mover to determine what the game plan is (who to call, who pays for what, etc.) if there were some blemishes.
Since this wasn't discussed ahead of time, and there is obviously no mention of such marks on the piano prior to shipment, it seems clear that it is the moving company's obligation to bring the piano back to the condition it was before the move. (i suppose this means i essentially agree with pianobroker, who agrees with rod, who agrees with pianolovers who has a BB, who agrees with BB who also has a BB)
I suppose it's also worth noting that there are some additional things that can contribute to these marks showing up after a move. One would be if the finish itself was particularly fresh...for instance if it was very recently rebuilt, and the finish was less than a month or 2 old. We once moved a piano to an event in Rochester, NY with a finish less than a week old. Not surprisingly, there were a few blanket marks, but fortunately we came prepared... Some months later, when the same piano was delivered to it's owner, (through a difficult move, also in NY) there wasn't a blemish to be found afterward. Another would be if the piano had some sort of polish/furniture cream rubbed into it. In that case, the moving blankets aren't actually 'scuffing' the finish, they are absorbing the polish. This situation can make matching the lid to the rest of the piano somewhat more complicated, but still do-able.
As pianobroker mentioned, rubbing out lid, can be fairly tricky, so do be sure to have a professional do the work. Best luck,