If I have my history down right, the ship-name rule was introduced so that Vader could equip the Advanced Targeting Computer.
Now, by email ruling, it has been generalized to apply to card effects as well as restrictions.
By this precedent, can we apply it to dials too? Can I fly my TIE F/O Fighter with a dial that is labelled TIE Fighter?
And if not... what dial do I use for this ship?

