An example of this would be someone who is pro-choice writing something from the stance of a pro-lifer. It could be because of the possible societal ridicule one can get from writing from positions stemming from less than liked opinions. It seems as if this kind of (much-needed) writers who have the ability to capture an intriguing view of something that isn't their own viewpoint is looked down upon. As if it makes you come off as a sort of advocate for the idea and if you didn't agree with the idea why would you bring it up? But these views have to be brought up in a logical way in order to be properly dismantled.
A time when pseudonym was very relevant in literature was the 19th century when women were in a very male-dominated field when it came to writing. They are also used when writers don't want their name to influence a readers perspective on their book.
All in all most of the time when pseudonym seems to be used its to disguise a person from their right of portraying their views. To show we are a more confident and educated society we must all realize that when you read something it might not be honestly what the writer agrees with. Sometimes you need to put yourself in a different personal perspective to see why they might feel the way they feel and as a writer, you are able to convey ideas in a digestible and figurative way others might not. Your using your skills and your desire to show the world a different perspective and doing that with hard to discuss topics will take the almost boogeyman like stigma away.