No one has disproved Einstein's General Theory Of Relativity. On the contrary, it has been verified in every possible way. The papers you quote are more fringe science than science and philosophical than scientific. In the real world (or universe actually) we have found that supermassive black holes are at the center of all major galaxies. Saying, for example, that the event horizon of each black hole cannot be accurately determined therefore the black hole doesn't exist is silly since the black holes do, in fact, exist. Their mass can be calculated. Their positions accurately charted and sometime they can be visually observed if they happen to be having a meal.

If Einstein's equations concerning gravity's effect on time work everywhere else, we don't need much of a reach to apply those rules to the black hole also. The physics that don't work are at the center of the black hole (the singularity). The equations of gravity mostly all include dividing by the radius distance from the calculated point to the center of gravity, which in this case is zero distant. Dividing by zero doesn't work in math so the formulas blow up. It's really that simple.