If it helps I will pass on more of my experiences:
If it is indeed overheated it will very quickly boil out the radiator fluid. If you shut the tractor down you can clearly hear it boiling without even opening the hood, and there will be a puddle of fluid on the ground. (I know this from multiple experiences). On mine the temp gauge has a very narrow range. The difference between OK and boiling over is extremely small. At around 40% of scale on gauge reading it is OK and seems to be normal, and at 45% she is starting to boil. If I keep running it, within about 30-60 seconds the gauge is maxed out after it started boiling and won't stop for 5 minutes no matter what you do other than hose down the radiator. As with most tractors I have seen, Branson doesn't seem to pay a lot of attention on the quality of their instrumentation.
And as with most vehicles I hate how they block the front of the radiator with other cooling devices. (in my case it is an oil cooler, an ac condenser, the engine air cleaner and the radiator overflow tank, plus the mounting structures for all that stuff. I understand why they do that, but what a PITA for cleaning. It has a screen but it doesn't catch the smallest chaff. Now I try to avoid mowing if the weeds have gone to seed. I should point out that these issues aren't confined to just Branson tractors. It is common tractor design.