When we did the initial napkin design, we wanted a protocol that would allow for anything less than 1/2 of the witness to be behaving badly. So, the obvious worst case here would be 1/2 bad witnesses voting on two sides of a fork. In such a case, both forks would have 1/4 good witnesses + 1/2 bad witnesses and a 3/4ths majority would be achieved on both sides of the fork.
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I wasn't necessarily viewing it as "bad" unless it is defined that way, which wasn't clear to me. The comment about changing votes many times suggested it might be considered as legitimate behavior, but if not then it seems fine that "some" threshold of bad witnesses can break it. That's essentially unavoidable.