This was caused by the `mb_data->obmat[]` being wrong because they are
now shared between the particle system and the object.
But Hair need the dupli parent matrix instead of the object matrix.
Disabling `Show Emitter` option fixes the bug.
To avoid this problem, request a different `EEVEE_ObjectMotionData`
for particle systems using a different key pointer in the hash.
This is a bit dirty but there is less code polution using this workaround.
Differential Revision: https://developer.blender.org/D14911
f5077e057b