You are right. In a conversation, if somebody talks about a work of Shakespeare we couldn’t catch the idea. Literature is a part of the culture, and learning that extends our vocabulary capacity.
I think that English Literature is necessary for Elt students , so if you want to learn a language , you have to learn everything about that language .For example , people, culture, history , literature etc..All of these are important to understand what you learn.Hence , English literature must be learned by Elt students..It may improve our language skills . Shortly ,you have a chance to learn the history of language that you want to learn ..