Do you mean unpopular opinions or thoughtcrime? I post unpopular opinions all the time. Sometimes I get a few downvotes, then in other timezones it swings back the other way, usually. I am not even sure why.
This has been my experience. I very politely and respectfully commented on why I wouldn't support a certain web browser that's gaining attention. The comment swung to the minimum (-4) quickly, but settled on 0 over the next few days.
I suspect that it's not timezones. I think some people, when they see posts that they feel are unjustly downvoted, vote them up just to cancel a downvote, even if they wouldn't have upvoted the post otherwise.