I find the questions they ask 100% more intrusive than them having a poke around my stuff. As AB said, your privacy pretty much goes out of the window.
If you think that they cross the line at all, however, don't be afraid to ring Unlock or get some advice from your legal person. I've done this and pushed back on a couple of things since.
I'm sure you wouldn't ... but... if you have anything you even remotely don't want them to stumble on while nosing around, just get rid. For your own peace of mind if nothing else.
Fighting or Accepting - its difficult to know which is right and when.