Wiggle bones behave strangely with constraints

[Zentheon]

I've been playing around with wiggle bones for a bit and one thing I can't wrap my head around is how constraints behave with wiggle bones.

bendy_bones.mp4

The armature on the left has a chain of copy rotation constraints linked to its parent, while the one on the right has the constraints baked into the same animation and behaves like I would expect. Even when stiffness is turned up too high for any visible effect the weird transforms still occur.

Blend file for good measure (4.1)
bendy_bone_constraints.zip

[anton22w]

I have a similar issue, when adding whatever constraint and then setting the influence to 0, the last bone turns in the wrong direction