This is, at best, misleading. It is common that a junction running at capacity with a pedestrian phase will always run that phase with the same timing regardless of buttons, but that same junction (never mind other junctions) may often not be running at capacity, whereupon that pedestrian phase is inserted when demanded.

Also of course outside of a junction the control system has no reason to stop the vehicular traffic if nobody demands to cross. So even in the middle of the day the only reason somebody who refuses to press the button can ever cross is that other people will press the button.

It wont turn green unless you push it here. If you dont push it, you will stand there like an idiot until someone else comes and pushes it.