I just called their customer service number--spoke to Mark (said he was the same person to whom you spoke). His story is that the battery and charger ARE supposed to be included, and if the customer does not get them, then they will send one at no charge. Gave me the same story about the manufacturer supplying misleading info about the scale, and by the time they find out about it, it'd cost them "hundreds of dollars" to correct the website (so much for customer service!!). He assured me that the model did include the battery and charger, and that the 15% fee for returns on ccard orders was only if the error was theirs.
I'm still not totally convinced, but am going to try it. If they mess around, I do know how to get them via the ccard return thru my employer (the bank), and also know how to sic the Consumer Protection Division of the state Attorney General's office on them!