The guys that ran dozers to clear fence rows or timber would cuss anybody that cut down a big tree to leave a short stump. There was nothing higher up to push on. The taller the stump the more leverage you have. They hook the dozer blade into tree about as high up as they can, then while pushing forward, raise the the blade a bit more. The two combined will generally rip it out.
The horse guys were hooked on up high. Even now, guys using track hoes will dig a hole on one side, then push tree over from other side, but push on it up high where they have leverage.
A big stump, cut short is a problem.
Years ago when we were loosing all the elms to Dutch elm disease my uncle had several huge old elms lining his driveway those things were 4/5 feet through and since they were so close to the house he had a professional come and take them down, he cut them all down in one day leaving just a couple inches above ground, my uncle was POed as he had specifically asked him to leave the stumps as high as possible to make it easier to pull, as it was it took several years to dig out and pull them out digging around them one at a time a little at a time whenever someone had some spare time (not easy on a farm) till enough had been dug and roots cut till they would come out easily or relatively anyways
Did the same thing when we were cleared for the cabin and had to cut a couple dozen trees for space for it, cut them as high as we felt safe to then hooked a heavy strap to them and pulled, they all came out fairly easily but then none of them were over about 18 inches or so in size and mostly popular and some maples