In high school, a classmate tried to help me loosen up a bit, and he'd encourage our group to cross a busy stroad. "They'll stop! They'll stop for you!" he assured me. He was right...
I visited Catalonia awhile ago. My companion was a native there and helped me understand local customs. I was able to drive her car a little bit, LHD, although the roundabouts tended to bewilder me. On foot, we'd approach a busy street and she encouraged me to just cross. She showed me how to hold out a hand as a signal of my intent. Motorists would slow and yield. She was also right.
I heard that the walk signal buttons are called "beg buttons", as in "pedestrians beg to enter the street". I use them scrupulously. My justification is that a theoretical personal injury lawsuit is easier to litigate, if I can prove I was doing everything right.