Personally at no point during my DTV application process and the granting of the visa was I directed to, made aware of or directly informed about any requirements about reporting my whereabouts during my stay.
I’ve read here that many business owners get the visa, as long as the right information is supplied. Just being the owner isn’t enough I’d believe you would also have to display proof that you are/can work remotely; a contract, an invoice and a bank statement showing payment seems to be the requirement.