The reason I used that particular example is because I know people who dislike seeming incompetent (I am definitely one of those people, I might add) really hate admitting mistakes to people they respect. The issue isn't that you think they'll respond negatively, it's that you want to look great to them at all times and you feel like you're making yourself lesser to them by admitting mistakes. It's more of a self image thing than an "I don't want to get yelled at" thing for a lot of people.The real question is whether you are comfortable admitting mistakes to people you know won't respond well. People you respect you probably trust will respond in an appropriate ways.....
As for people who won't respond well, it's definitely not fun to admit mistakes to people who won't like it either.