Every writer should be aware of his or her own writing style. Why? The more aware you are of your style the better you’ll be able to make it distinctive. Why should you be concerned with how distinctive your style is? Your style is your literary signature. It helps to separate you from other writers in your genre. It helps your work to stand out.
Do you like long or short sentences? Do you use absolutely concrete language or do you like the flourish of a well placed metaphor? Do your stories end with finality or are they left open to interpretation?
Just remember that authentic style is never imposed on a story. Authentic style is the essence of the story. More importantly, it’s also the essence of the writer.