I have an HST and gear and I think that the faster you go the more pressure that is put on the pump hence the engine stalling if you put the pedal too far down where as just creeping only uses a little pressure. Flow might be the same coming out of the pump but the high pressure is what produces most of the heat. I would compare it to a gear drive in this way: Which puts more pressure on the engine pulling a load, running in high gear or low gear. I think the same is true of the hydrostatic, faster= more strain which means more heat buildup. You are likely to get more heat from turning the tiller than from moving the wheels.