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I think the reason for not display the down votes is to encourage user to comment to participate. If you made a comment and you see a lot of down votes, you are unlikely to comment again, you get discouraged. By hiding the down vote count, users can down vote and commentators can make comments.
It is possible that they're attempting to prevent "downvote train", e.g. users think it's good, cool and okay to downvote an unnecessarily heavily downvoted post, assuming the downvote indicator is visible, due to maturity of typical YouTube user. I don't think we'll gain anything if downvote indicator becomes visible, so it's better to leave it hidden as a ...
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