Well, I’d lie to the bastids, too!
I mean, really, do you know if the person asking the question is a goonion thug who’ll “cap” you to signal an attack on you, your family, or your property?
Yep, I’d lie my body parts off.
With the ubiquity of cell phone cameras and surveillance in general your answer to the pollster is almost certainly recorded and will get back to the folks who have retribution in mind. It is not smart to tell a pollster something you don’t want your shop steward to know.