Woods rates the BB720X as HP range of 30 to 120 & weight of roughly 1200 lbs
Kioti specs list the NX4510 HST at 33HP at the PTO, 3PT lift over 3000 lbs, and weight of 3,989 lbs (w/o loaded tires)
My initial thoughts are:
Lift Capacity - got it covered
Horse Power - Within the rated HP requirements though on the low side. Going to have to increase RPM & decrease ground speed to keep the cutter going through the heavy stuff.
Implement weight vs. Tractor weight - Wrangling that monster might make things a little "sporty" in some conditions - like mowing across a hill side or if you had to raise it up going up a significant slope, etc. Granted mowing up & down slope is preferred to going across but here in the "Foothills of the Blue Ridge" that's not an option for us all the time. If you're geography is similar it's something to think about.
Mowing Fodder - you listed trees & brush as some of your mowing fodder. We recently took on reclaiming old pasture land that had gone fallow for several years and had spruce trees in the 3" diameter range along with stumps from previous timber removal and blackberry vines galore. Due to the stumps we ended up hiring a neighbor with a (borrowed) dozer to come over and clear things off for us. If all you have are free standing saplings & brush you might be better off hiring (or renting) a skid steer with a forestry mulcher to do your initial cleaning & then go with a Medium Duty cutter for your following maintenance needs.
The BB72X for example is 11ga (0.1196 inch) instead of 10ga (0.1345 inch) but otherwise identically constructed to the BB720X but still 400lbs lighter (most of that is rotating weight in the cutter head which accounts for the 1.5" vs 3" cutting capacity). So operated w/in the intended design they should have pretty much the same life expectancy. The 72X is probably cheaper too.
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Here's a video if a Forestry Mulcher in action. You can tackle *most* of the same stuff with a RC and tractor but the finished product isn't nearly as nice.
So in a nut shell - you can lift it & spin it just fine - just not sure how easy / safe it will be to get around on your work area.
As I read what you're saying - you're looking to buy what you need to do the initial cutting/clearing & then use it forever to keep it maintained. My thoughts are find the best choice for the lifetime maintenance first, then do the initial clearing work another way if you need to. After all you're only going to cut it the first time once
At the end of the day - it's your money & your choice but for long term use I think you'll be happier with a slightly less wieldy cutter and finding an alternate means of dealing with the "rough stuff" the first time around.
Best of luck whatever you decide.