The higher the water level the easier it is to start the syphon. I suggest a simple experiment. Plug the overflow pipe with finger, depress float and increase water level by say 30mm. Now flush.
I increased the height of my overflow pipe by 30mm and the water level by the same amount, which meant the syphon pipe had smaller volume of air and required smaller volume of water to get syphon started.
It does make me think there is nothing standard about heights of syphons, cisterns and overflow pipes.