They really do. I was sitting on a bench once waiting for the bus when a random cat just came up to me and sat right next to me. I tried to ignore it, but it started rubbing its head against me, demanding cuddles aggressively.

I obliged of course and cuddled with it until my bus arrived. Felt a little bit sad that this fairytale moment was already over, but when I took a last peek at it, I saw that the woman who exited the bus just now took over and started petting it too. That cat really knows what it wants and how to get it.