You need to do some more/better research. The Case and NH machines that are made by LS have the same engine, frame, axles, etc regardless of whether they're blue with NH stickers, blue with LS stickers, or Red with Case stickers.
The versions with blue paint and LS stickers do have a more powerful loader than the Case or NH versions.
The other machines (compact tractors) made for CNH come from Shibaura, and you can't buy those directly, so it's an entirely different scenario.
Your Branson can lift 2,200lbs to 103.8" at the pins....not even close to what a Utility machine is normally capable of, and there are 40hp compact tractors that can lift a fair amount more. For example, Kioti's DK40SE or NX4510 can lift 2,761lbs to 108.3"....that's a big jump in capability to lift 561lbs more weight an extra 4". Short version...the Kioti loader is at least 25% more powerful, but it's still not a Utility tractor loader. Jump up to Kiot's RX series (Utility) and you add another 600lbs of lift (3,384lbs) but it will lift that an extra two feet higher. That's a major jump in capability...more than twice what your Branson can do to the same height.
Look at a Deere 5045E (smaller Utility machine) and the FEL capacity is 3,133lbs to 122"....again, a huge jump from 2,200lbs to 103.8"....well over a 50% increase.
I'm not saying there's anything wrong with your Branson, but it doesn't remotely compare to a Utility size tractor when you're talking about FEL use. The other thing is that there is more to it than just lift capacity...you have to be able to use it safely, and the Utility machines will have an advantage there as well.