Someone purchasing a new (to them) tractor and expecting as you have stated "a small tractor" and "lift sections of fallen trees) often bothers me.
1. a person on a tractor often assumes it can do bigger tasks than it really can.
2. New tractor owners are not aware of the abilities of and dangers of a tractor, especially one with a loader. "I can't see so I raise the loader so I can see" That is a dangerous thing to do. "Yeah I know the back end is light when I pick up the load but I can get along" until you can't.
3. Some older tractors aren't equipped with safety devices that keep operators safe.
4 Every body looking for a tractor wants a cheap tractor everything works well on it. Avery rare find.
To someone searching for a small, utility loader tractor I would recommend something on the order of a MF 135 or 35, Ford after 1952, or similar make of that size. Most available in diesel
Yes they are larger than a scut or cut, but they are probably safer, especially if equipped with a roll bar and seat belt. The wheel tread is wider and the wheel base is longer. They will have plenty of power and a stronger loader. Most are equipped with a LIVE PTO, Reasonably priced. Used parts a readily available. Cons: most are only two wheel drive. Need weight on the back to use the loader to full capacity.
PTO types:
1 Independent= Can start and stop no matter if tractor is moving or stopped, has its own independent clutch.
2 Live= Tractor is equipped with a two stage clutch. Clutch pedal 1/2 down stops forward motion, completely down stops PTO, 1/2 up PTO starts, whole up tractor forward motion goes. Some of these could also used a clutch on the differential, Older tractors like MH 44 and 33, and Farmall H and M.
3 Transmission driven = start and stop with the transmission. Tractor and implement start and stop at the same time. Avoid if possible. Needs overrunning clutch to be safe. Some early cuts had the overrunning clutch built in. Without an overrunning clutch a rotary mower will drive the tractor, You wanted to stop at the fence-----Nope you just went thru the fence.