If your effective scrub radius has been increased enough to cause noticable torque steer like effects at each steered wheel, and considering that when traveling in a straight line on a smooth road these torque steer effects will be in balance side to side (and hence no pull to one side), then a bad damper causing one tyre to excessively unload in bump might cause the still loaded wheel on the other side to no longer be in 'torque steer balance' with the unloaded wheel and for a torque steer from the still loaded wheel to be felt and a momentary pull to one side that feels like bump steer??

That's a lot of words with no full stops, apologies for the poor punctuation!

Anyway, the short of the above is that it's not unlikely that a blown damper might at least be excacerbating any problem that may exist (even if it may not be the actual cause), and new dampers may reduce the symptom to a degree that it's not noticable.

It's not impossible that when coasting the rolling resistance in the tyre might be enough to trigger an affect as described above, even with no engine or braking torque involved (?), but I might just be trying too hard to defend my theory!

PS,
Just noticed your sig. You mustn't have driven a well sorted carburettor set up, DCOE Webers (and other good carbs) can make very good power! Though you may not get quite the same 'drivability' as with a good EFI set up.