Hi SANDYMW, I'm a developer of add-on solutions for MYOB AccountRIght. After researching, I'm unaware of any options that exist on the MYOB Business API that control or parallel the surcharge settings in the program itself. So I would question the factual basis of this reply.
In the sales invoice endpoint, there is a field called "onlinepaymentmethod", which can be set to All or None. If it is not set, when the invoice is posted MYOB will apply the default setting of All, therefore the imported invoice will have online payment options. But this is not related to the surcharge settings.