I think the name “context wrapper” is meaningful representation. To me, (and i emphasise the to me part) It’s something that wraps on type to add more information to it.
For instance a time type could be wrapped in timezone Monad. To stop time being manipulated without the context (time zone) being corrupt, we use map to only allow specific changes to instance inside the monad.
I wrote a little blog post on my interpretation if anyone’s interested: https://blog.philliptaylor.net/?post=monads-for-oo-programmers.md
You gotta walk your own path.
Most people know exactly what they have to do to obtain a skill, start a business, make a friend, experience and adventure but simply don’t out of fear of the unknown.
The Internet is helpful but you got to put stock in your own lived experience.