I don't think it's nonsensical, it's just another name for the same thing. E.g. in the Haskell wiki it says, "the Error monad, also called the Exception monad".

https://wiki.haskell.org/index.php?title=All_About_Monads

> Perhaps what you want is a container which adheres to monad laws capable of abstracting exceptions

That is what I meant. Struggling to picture what the other "nonsensical" thing is.