I'm no expert on winches, but I have rolled a lot of logs on trucks by hand. With that said, I think it shouldnt take a real big winch to roll a log on a truck. As for duty cycle, well I am not so sure burnt up and hot winches are a sign of a poor quality winch, as much as its a sign of a poor quality power supply. Ever burnt up a car starter, its usually caused by a bad or dying battery. Using a winch has a big power draw from the battery. A small amp alternator that cant keep up with the power requirements of a winch will result in a ran down battery and low voltage to the winch motor.
My dump trailer is electric hyd's. Trailer has its own battery and it charges off the plug on the back of the truck. I have hauled multiple loads and kept the truck running while dumping and seen how much the dump would slow down lifting and dumping. After just a few loads, I would have to stop work and let the battery charge up. I added Anderson connectors to the back of the truck and the trailer. Now, my electric dump motor is getting power from the trailer battery, the truck battery, and the alternator. I can raise and dump all day long. I think if I had a electric winch on a trailer, I would want to give it the most battery power I could supply. I feel as long as the winch recieves all the power it needs, it probably wouldnt get hot near as fast. My truck is already set up with the Anderson connectors, so it wouldnt be a big hazzle for me to add a winch to a trailer, but If I did, I would also add a winch dedicated battery mounted on the trailer.