Comparing both, Branson takes the lead on this one. You can go and check the specs for yourself.
You didn't mention if you're looking for HST or gear tractor. But for the gear versions, Branson uses a 12x12 shuttle shift synchronized transmission, where the Kioti uses a simple 9x3 non shuttle transmission.
Branson has 2 PTO speeds, 540 and 540E, it's heavier, will lift more in the 3 pt and loader, has higher flow rate on both pumps. Also it's a simple tractor, old school tractor with little to no electronics. It's a really heavy duty, like the old tractors used to be.
Kioti has one PTO speed, it's about 300-ish lbs lighter, won't lift near as much as the Branson.
But, then again, I have one which I love and it's just a beast. I'm sure both are great tractors. On the other hand, here in Portugal, Kioti took the lead this year on the number 1 selling brand in the 35 to 50 HP range tractors. Kubota used to be the top 1.
About the support, if you search a little bit more, you'll also find some bad stuff about Kioti. But honestly, we can't always trust these feedback we see every once in a while. It's easier to bash a brand, but we never know the full and real details behind the issues that caused the brand to not support it.
All I can say, is that Branson is going strong in Europe, contrary to what some people think and say.