You can't control the paparazzi. But if you go to Coachella you're going to get photographed. Whereas if you're at home walking down the street you probably won't. It's something I've learnt to navigate my way around but I try to keep my private life private.
It wouldn't be fair to say that conservatives cherish property the way liberals cherish equality. But it would be fair to say that the takings clause is the conservatives' recipe for judicial activism just as they say liberals have misused the equal protection clause.