the problem would be it wants to lift the tractor even with the opposite side down unless you attach the base to the BH somehow. The stabilizers alao work in an arc..
I have thought about using the BH bucket curl with a wedge in place of the thumb, but not sure if that has enough compression force to split wood.
Currently I use a 3PT hydraulic splitter attached to the BH hydraulics and front mounted so I can use my BH and splitter too
The second video is the better idea because the bucket prevents you from picking yourself up.
But neither one of those would split the wood i normally split. Even a big backhoe only has ~4" diameter cylinders. And on an angle making it travel in an arc, it dont have much power. I can stall my 4" cylinder in a straight push with 100% power. Cant imagine a backhoe "attachment" doing much good.
Only backhoe mounted splitter I would consider is one like this
Plus that Case BH is at least 10000 pounds of steel - and the average CUT is 4000 with a BH. And they split easy wood - straight no knots. Knarly wood wont work.