A and B are almost the same circuit.No, I want to make B.
In B it is easy to see the boost circuit & the full bridge. The bridge could be set at 50%. Because there are two circuits it is easy to see how it works. I also like the idea the bridge could be set to switch when the boost MOSFET is on so there is no switching losses.
In A (when all 4 MOSFETs are on = when boost MOSFET is on)
As Kubeek said; normally turning all MOSFETs on is bad news. But in this type of circuit it is used to make a boost supply circuit. Only in this case it is OK to have "bad timing" for driving the transistors.when both igbts are on at the same time - a shoot-through.