I must disagree ever-so-slightly with part of what you said. If your lie is within the 10m circle, then it is a putt and the thrower MUST demonstrate full control and balance, but that balance is no closer than the marker disc to the basket. The term "falling putt" is somewhat misleading because you can legally fall sideways or backwards or even at a backwards/ sideways angle -- just not closer to the basket than the marker. But if you do, then you must demonstrate balance AFTER that and before you advance toward the basket if you hole out.
So whether falling, having the seizure, or dancing with the stars behind the marker you must still demonstrate balance at some point before you advance.
I know it's a technicality, but I wanted to voice what I think the interpretation is.