No. I don't expect anyone to use an unrelated equality in civil case in a different jurisdiction to influence their vote either way. My suspicion, that is on record anyway, is that I suspect homophobia being behind some of the No vote. In the hypothetical circumstances that this case was to be used to encourage a No vote then it would, to me, demonstrate that my suspicions were correct.
However, that is hypothetical as no reasonable person would make any connection between this case and the upcoming vote.