Your objection is quite understandable, but it is also inherently understandable that the immigration authorities remain "skeptical" and ask questions even after the DTV has been granted.
A polite, friendly and honest answer is the right way to go.
This is basically correct. Some expect the reason to be derived from the approved DTV that they have brought with them - because the DTV is a tourist visa; it is therefore intended for tourist purposes in combination with remote work or certain activity.
That should be reconfirmed upon arrival if there are any inquiries. A polite, friendly and honest answer is the right way to go.