The image itself explains that the sympathetic fibres that go through the short ciliary nerves are only to the intraocular blood vessels.

This card would also contradict other cards where it is mentioned that the sympathetic fibres go exclusively through the long ciliary nerves and the ones where it says that the short ciliary nerves carry only parasympathetic innervation.

My knowledge is limited in regards to what is actually the truth, but something is not adding up.