Mine does, so does Sean's in the workshop, although his got much better after he went back to 18" from 20". Needless to say we are both fitting 16's again.
Don't go the polybush route BTW. Been there and done that with both the Dynamic and Soft ones. When I have some time, I'll be putting the Genuine Part ones back in. The p38 likes to have some lateral movement in the suspension and a harder bush makes any tramlining feel worse than it should do. Also, LR had a few issues getting the correct compound/design into them and they had several attempts to get this right inbetween 1994 and 2002.
Usually, the wonder is related to the drag and track rods having play in the ends. Replace these and make sure the steering box is adjusted properly. Then look for play in the upper part of the steering, from the steering wheel down to the steering box. Then just check the condition of the panhard rod bushes - these can sometimes be affected by a leaking steering box drop arm seal as the ATF gets in under it. Normally, the remaining wonder is due to tyres and the crap road surfaces we pay all that tax for.