I think it would be beneficial to display at least the number of close votes to everyone, regardless of rep. If not everyone, then at least the OP. Maybe let the Close link be active like it is for 3K+ users and then have the voting controls active only for 3K+ users.
Benefits I can think of for this include:
- Would give the OP an indication that they need to modify their question a bit before it gets closed, thus helping to improve the quality of questions a bit more proactively
- Puts the close reasons a bit closer to users' eyes helping to keep them in more in mind
- Could help to control duplicates. If someone goes to answer a question that's a dupe and they see there are close votes on it as a dupe then it's a more direct route to get to the original question which often times already has (the same or similar) answers on it. (Yes, I know questions can be merged.)
I think the comment about downvoting is solid enough to not have everyone see the votes, but rather the OP, so I'll make that the request.