As has been alluded to here there are a variety of mileages king pins can last and for the various different types and differing reasons. Some MOT testers really don't understand the Morgan peculiarities I would therefore ensure I took my car to one who does!
Also, as stated above, proper greasing is vital, for the older damper blade Morgans in particular. Forget the after market remote greasing system and or a quick squirt. Get under the car and insert a screwdriver as a lever to take the spring pressure off and ensure that the grease actually gets where it is supposed to.