I'm a little confused too. Ned says that the current theory of gravity might be falsified; almost certainly in the same way that relativity falsified Newtonian mechanics.
cavediver said that the Newtonian law of gravity was "falsified", but not entirely thrown out since it is still accurate enough in most situations.
The two statements don't disagree. They both referenced Newton's work being overturned by Einstein's - and that the overturning wasn't so much an erasing of the old, but more of a 'filling out' of the old. Ned goes on to say that this is the most likely future of our current theory of gravity (should it be ever be shown to be erroneous).
Edited by Modulous, : No reason given.