Training Fasted... Is it beneficial?

I train fasted. Can not work out with food in me. Caffeine is fine. I wake up at 6am, drink black coffee with my husband, go to work for 2 hours, get home and walk the dog quickly, meet my gym buddy by 9:30am, usually do our heavy lifting first and follow it with cardio once or twice a week. Get home by 11:30am, and refill the water bottle, drink more coffee, shower, lunch sometime after 1pm. Just works best with my med/work/home schedule and like I said, food in my system usually means I cannot complete a workout or end up puking. My lifts keep improving so for me it does not seem to be a negative.