I trained at 4:00AM fasted 4X per week for 2 years and I was fine. I did drink a Casein shake before bed. I also took a pre-wo and drank Xtend intra. I progressed just fine. The only reason I stopped is because the banging of plates and bars almost always awoke Mrs Squatter and she was growing really tired of it. Unhappy wife = unhappy life.
Still today, my Crew training on Saturday and Sunday mornings is still fasted, and those are my 2 heavy days. The only reason I stopped progressing was because I kept reinjuring my lower back every few months due to my compression issue that you likely already know about.
You will be just fine, I think