> especially the meaningless x-axis 'early containment measures/time' doesn't make any sense.
The horizontal axis is labelled only 'Time', in the same font and relative location as the vertical axis label.
'Early containment measures' is labelling the animation (or specifically the black arrow that points in the direction it's animated) of the area under the 'sick curve', indicating what it is that causes that change.
I understand the point, but I think a few static graphs, or a 3d rendition, could convey it much more clearly.