I understand what you are talking about but these lines of reasoning are not based on the doctrine of dependent origination.
These lines of reasoning are based on the foremost cosmology or world-view, viz. ‘Everything truly exists’.
Having asserted that the world truly exists, one asserts that a fire burning in the world really exists. Having asserted that a fire burning in the world really exists, one asserts that the world is with fire. When the fire is extinguished one asserts that the world is without fire, only cold coals remain.
Exactly likewise
Having asserted that the world truly exists, one asserts that mind & body in the world truly exist. Having asserted that mind & body in the world truly exist, one asserts that the world is with mind & body. When the mind is extinguished one asserts that the world is without mind, only cold body remain.
This is exactly why the annihilationist who holds that khandas are atta and the annihilationist who holds that khandas are anatta, both of these, conceive & relish the same idea of non-existence of mind after death.