Should I find myself in that situation, it’s likely I’d decline, unless my privacy intrusion was particularly clever. Then I might allow it.
“HERE, TAKE ME! TAKE ME GOVERNMENT! HERE – HAVE MY HARD DRIVE! HAVE ALL OF ME!”
I’m a bit of an Internet whore. I’d probably have ALL 65535 of my ports open – BOTH WAYS, although a few ports got abused, so I had to firewall them – the computer equivalent of a chastity belt.