I'm tagging this as "discussion", not as a feature request, because I am quite agnostic about whether it's a good idea.
That said: My subjective impression is that lately a lot of very bad/off-topic questions are picking up an upvote or two shortly after they're posted, after which they generally attract a slew of downvotes and are quickly closed. This has become common enough that although I had no specific examples in mind when I started typing this, it took me only a moment to find one here. I'm not sure what motivates those upvotes, but I'd be willing to bet it's not an honest appraisal of the questions.
I can imagine that if this phenomenon continues to grow, it could become a significant problem. So maybe it's worth thinking about how we'd address that problem.
One "solution" is to impose a reputation cost for upvotes on questions. I feel confident that would be a terrible idea.
So here's a variant: Extract a reputation cost for upvotes on only those questions that quickly receive a lot of downvotes and/or are quickly closed.
I don't think this is anything that requires immediate attention, but it looks to me like it might require attention in the future. And I'm not sure this is the right way to address it, but I thought it might be worth seeing what others think.