Yes. It is always important to support your writing with specific details. When you are arguing, persuading, explaining, showing, or telling your reader something, to be credible, you must use specific details to support it. If you do this, you will be seen as an expert or as someone who can effectively analyze the subject you are writing about. Imagine if the evening news or the local newspaper wrote in generalities without giving us details like names, places, dates, and what happened. We wouldn't gain any real knowledge about the day's events. The same is true for your writing. Prove your points through specific evidence and not general discussion. Go to the text and find quotes, facts, data, etc. to really make your point one that can stand up to the subject and be more believable.