I'd guess that if you ask people about a broad right to privacy, they will mostly express support for it. You could ask:

    "Would you pay extra for a guarantee your personal data is kept private?"

    "Would you pay extra for a guarantee your data isn't sold for marketing purposes?"

One might argue "private" implies more than can truly be promised, for example no US company can promise to ignore subpoenas and actually follow through.

I'd say it mirrors for patriotism: "do you support $OUR_COUNTRY" will get more "yes" responses than almost any more specific question about support for anything tangible. Precisely because it's sort of meaningless and unobjectionable... (well except in the US, where I'm sure it's correlated with whether or not one's favored party is in power)