1. it fails to address their actual argument, which is that they have nothing to hide from companies or the government, especially law enforcement.
2. it fails to convey the actual threat of loss of privacy: the threat to democracy and freedom of speech when journalists can't protect their sources, lawyers can't be trusted by their clients, etc.
I therefore prefer to emphasise that latter point, that even though they might have nothing to hide, people they should care about do.
Although lately it's become easier to convince people that even they have something to hide: as political actors (e.g. Cambridge Analytica) learn more about them from their data, they can target you (and people like you) with tailor-made lies to influence who you (and people like you) vote for.
Doesn't convince or even interest everyone, of course, but more than before.
Trying to reason with someone about some topic they didn't use reason to get to their position on in the first place is often a losing proposition.
So these days I just say "if you don't want to even think about some problem or issue, you should just come out and say 'I don't want to think about this' instead of saying something so obviously and unambiguously ignorant. That just makes you look bad". Then I move on. I can't make folks think. I can't save them from themselves and their privacy isn't the hill I'm going to die on.
That seems overly dismissive and presumptuous.
Everyone talks grand about protecting privacy in threads like this but when it comes down to it we vote for politicians who promise to institute invasive background checks for gun owners and use Facebook surveillance to root out white supremacists.
IMO while definitely good for society the general acceptance of homosexuality and weed use are two big blows to privacy because those were very relatable and common things that people wanted to stay hidden.
Which is not true when you consider that all your life events are being used to estimate your suitability for life changing opportunities like getting a job or a mortgage or a visa.
For example, the consequence of the bathroom door being opened is fairly predictable and honestly, benign. But the consequence of someone gaining power of your life through knowing information that you thought was private is quite unfathomable. Which is why we often describe it as "creepy" even though we can't actually assign any specific negative consequence to it. Perhaps the most important thing of all is that humans have simply evolved to have this "creepy" detector as a built in defense mechanism, and we find it very disturbing and psychologically upsetting when it goes off. The simple fact that this is the human condition (whether valid or not) is sufficient to warrant it being respected.
I wish I could rememnber the phrase!