Path points missing when importing vector shapes with overlapping path points

Hello,

This morning I noticed something which I struggle to find a good reason for happening. It happens when setting up an animation of nothing but vector paths.

When animating these paths, I want them to do so from one 'state' to the next. Due to the very limited control of the Path property of a Shape layer in After Effects, I first build these states in Illustrator – import these Illustrator files, and after making a whole setup with the Create Nulls from Paths plugin, animate the null-positions going from point to point.
Here's the catch: some path points of these shapes overlap. When converting these imported paths into vector shapes, and then select the Points Follow Nulls option in the Create Nulls from Paths, I notice that these overlapping points suddenly are not present anymore. A shape of 10 points, when imported, leaves 6 Nulls coupled to the Shape layer. It looks like one point which had multiple (4) path points overlapping has been stripped of the remaining three.

This added test.ai should demonstrate the issue.
I didn't have this problem before, and I hope it's not an attempt at a refinement of workflow. The only forseeable option to solve this now seems to be to alter all the shapes so all overlapping points aren't directly overlapping, import them, correct all the points, and go from there – effectively adding a step to an already unnecessarily difficult setup to accurately animate paths in After Effects.

Any insight in what's going on here would be much appreciated. Thanks a bunch in advance!