All spiders and combos wobble to a degree, it's not something that can be bred out and now a days (vs 10 years ago) it's no longer a secret.
Most combos you will see out there halve a very mild wobble so much so people that are untrained do not see it, very rarely have I seen real train wrecks.
I can understand not wanting to work with spiders I feel the same way toward caramels as well as Super Cinny and Super Black Pastel (I do however work with Black Pastel combos just not the supers)
If it really troubles you, maybe you need to consider trading the animal or selling it, this time make sure do some research because Spiders are not the only one with the issue.