I am thinking that the hydraulic system on the PT's are closed loop systems. If they lose fluid, the charge pump makes up the loss. The charge pump is only pumping when it needs to. No, the case drains only pass fluid back to the tank. I am also thinking that the pump is designed to run in a certain direction, and when you tow it, you might be forcing fluid back through the pump in the wrong direction. Jamming things up, breaking things, etc.
I have a similar situation on my hydrostatic Wheel Horse, they say to not push or tow. Somebody did push it down some ramps to get it off, and it is now jammed up. There is supposed to be a release valve on there somewhere, but I have not found it.