Hi mate, thanks for your extensive answer. It is slightly different.
Currently, my monitors and keyboard and webcam are connected all to the docking station. From the docking station there's one usb cable to the host, ie the laptop OR the desktop. So the desktop uses the docking station as well.
So right now to swap between desktop and laptop I have to swap the host USB cable from the docking station which is annoying.
Therefore, my plan is to plug that cable into the USB switch only. Then, a cable from the USB switch to the laptop and another one to the desktop. Then I can switch between desktop and laptop via the USB switch.
I'm on mobile now so can't do a drawing.
Perhaps I could have done it with a kvm as well but the docking station was recommended by my work.