At busier intersections I find traffic signals much nicer as a pedestrian, because while the same number of cars do cross your path, they don't cross your path when you have the walk signal, which is when you'd actually be crossing the intersection. It gives you a nice break in traffic rather than having to push your way out and hope traffic stops for you. This is assuming no right turns on red (as in most of Europe), and left turns only on left-turn signal (typical in cities, at least on major roads). In those cases, there is no traffic at all allowed to enter the crosswalk when you have the walk signal, so you have an exclusive protected crossing.

At lower-traffic intersections the difference is less pronounced, partly because it's easier to force your way across even without a signal, and partly because the signals at less busy intersections may not give pedestrians an exclusive period in the cycle anyway (e.g. by allowing left turns on a regular green).

This might be Copenhagen-specific, but in Copenhagen I also find roundabouts make the pedestrian/bicyclist interaction less clear. At regular intersections, bicyclists can't cross your path when you have a walk signal, but at roundabouts they seem to just go through and are less likely than cars to stop preemptively when they see a pedestrian wanting to cross. Roundabouts aren't very common though, so maybe this would be worked out if there were more of them.