Paul, you have hit the nail on the head with the suggestion about wear in the ball joints and bushes. The bushes were the only thing I never changed on my 240,000 mile 924 lux, and it used to shake so much that my fillings rattled, between 70 and 85 so naturally I suffered the shaking.
Remember that when the vehicle is raised the suspension is forced to deflect more than normal to raise the wheel, and this could be the last straw for "Y" reg suspension bushes.
My latest Turbo, whilst high in milage (176,000) has obviously been well maintained in this respect, as it doesn't suffer from wheel vibration to any noticeable degree; the suspension is taut, the steering is pin sharp. In fact it's better than my other Turbo (64,000) which has all its original components, and feels slightly more spongy. To comment on another post about pulling to the left, it doesn't do that either.
One other thing to contemplate; with the light alloy that Porsche use for their wheels, is it possible that the rims are indeed being distorted during tyre fitment either on the tyre changer or as 'Vitesse' suggests, by the great big hairy air wrench. BTW Porsche alloys (infact all alloys) should be tightened initially by hand brace and then torque wrench. The Le Mans and the Turbo wheels should be 90lb/ft. I am using 90 lb/ft for the Boxster S wheel fitted to the Ebay special. The driver's hand book should give figures for the 8 spoke wheels.