I'm not good at graphics and what not, but if you add a line to the center of the secondary in this schematic, then you have a center tapped transformer and each "side" of the secondary acts like a separate transformer in some ways, but each "side" of the secondary can and does still conduct through the other side at certain times.
As I wrote, at any given time, the polariy of the secondary will be plus at the top (let's say) and negative at the bottom, so the center tap will be not as positive as the top, but more positive than the bottom. Therefore, it will not be as negative as the bottom, but still more negative than the top.