Default customer profiles re-added on order edit, even without address field present
I think the typical issue is that because the address field value includes a country code by default, it's always assumed to have data ... so my guess is that whatever mechanism the Customer Profile Type UI is using to disable those sections of the order edit form isn't actually unsetting or otherwise removing them from the forms themselves. I don't have experience with the module in question, but if you have the ability, you'd likely be better off writing your own form alter to disable those portions of the edit form.