My spider male wobbles only when excited. Feeding and breeding cause his head to shake. Other than that, he is an excellent breeder (fathered 2 clutches for me this past season) and eats like a machine.
His spider offspring have wobbles too. The two spiders he produced both wobble when excited. The spinner he produced wobbles quite a bit, and is a slow starter, but I don't see the wobble being a problem.
My friend's spider female has a very slight head tilt and I saw her head shake during feeding day.