In my experience, it mostly does. Everyone tries to funnel you into +5-15% positions and may relent to +15%-30% when you reject their offer (two times and they still decide they need you).
I generally just don't say what my current role pays when interviewing. I ask what pay range they're targeting, and if they need a number from me, I'll offer a range where the low end is what I'd actually like.
Myself as well, but that information is out there and easily found through payroll subscription services.