A wobble can be very pronounced (where the snake does a corkscrew with its head) or can be very slight (just a slight cute-dog tilt to the head when in a strike-mode s-coil).
My spider shows no other "unique" trait except for the slight swaying motion of his head right before he strikes. He is not the most accurate striker but he is a voracious eater, so he grew faster than my other snakes who goes on periodic fasts.
The wobble doesn't affect eating except for some who are not as accurate with the strike. Even the corkscrewy ones manage to catch their prey.
A corkscrewy wobble doesn't necessarily produce corkscrewy offspring just like a no-wobble can produce wobbly offspring... that is, the amount of wobble appears to be randomly generated.
Wobbles can appear on other morphs but it seems to be more predominant in spiders. I got this info from 8ballpythons.com but I can't link it anymore because the site has been taken down.
Nothing controversial about the breeding of wobbly spiders because a wobble doesn't necessarily mean bad.