I have exactly that Titan box (though the red version) and filled it with steel and concrete to bring the total weight up to 800 lbs. And I have used its receiver exactly as you describe, with a hook inserted, to pull. As far as the strength of the receiver itself, I'm pretty sure it wouldn't be a failure point. It's good for roots and maybe saplings. I keep it low and use my lowest gear (to give myself time to react). With the box low, it'd hit the ground if the tractor rose up, which would both change the balance and reduce traction, so flipping would be somewhat less likely but by no means impossible. I've spun rears with the differential locked but never lifted a front wheel, much less both.
I think this is a judgement call and we just need to think carefully and work slowly, or else have much bigger equipment than I have.
But to remove a tree and its stump, with trees up to 3" or maybe 4", I cut the tree about 4' above the ground to leave myself a lever (I'd cut it higher if I could safely do so). I'll use a SSQA adapter plate on the FEL with a hook in its receiver to work the top of this lever back and forth, and pour water into the growing crack around the trunk and roots. I have clamps for wire rope and will cut about 5' of rope to wrap around the trunk so I'm adding upforce. Doing this, I have actually had the rears shift a little, maybe have one raise up an inch off the ground, so it's obviously a bit dangerous as the tractor is threatening to try to balance on the front axle pivot. Again, working slow is key.
All these activities are reasonable enough to do, I think, on a small home basis, because I'm having a pretty good time and don't mind it going very slowly. Haven't had a pucker moment yet with these (yeah I know "yet" is the critical word in that sentence). But I think these are by far the wrong setups to try to work quickly as one would have to do on a for-profit basis or if I had many of these to do.