I've noticed during a ride that the back wheel was giving me unpleasant up-down kicks (sort of like a weight was added on a section of the rim). I realised later that it had maybe 2-3 mm of left right wobble but the about of up down movement doesn't seem too significant (I should mention that I can only do visual inspections).
Can this up-down kerk be caused by that left-right uneveness?