Sometimes the parallels that are brought in can make the play seem less relevant; you can deny a play's application to the universal by making it too specific. Sometimes having a modern context does make things easier to grasp; sometimes, you go, "Why have they got swords?" "Why didn't Juliet just text Romeo? Why did she bother posting a letter? Why was the Milan post service so bad?" It throws up irrelevant questions that don't help.