You cannot go in all directions at once. It’s very unlikely you will improve your body composition (leaner), get stronger, and faster at the same time. Because the muscle fiber composition type required for these things are antagonistic to one another.
So you have to pick an aim. If you’re strength training in an empty stomach, you have conflicting forces. Your body is in a catabolic state while you’re breaking down muscle. If you’re looking to get stronger, this wouldn’t benefit you. Largely because you want to be fully recovered and fed prior to that. Why? Because to force muscular growth you require a stimulus beyond your current muscular threshold. This is largely only attainable in a recovered state. Does that make sense? Hitting a stick of dynamite 1000 times lightly doesn’t make it explode, it’s one STRONG stimulus once. Your muscles are similar (in a strength capacity)
Now if you’re looking to burn fat on an empty stomach, working out first thing in the morning is ideal.
But in my experience, you have to pick a single aim, and work towards that. You are unlikely to have your strongest 1RM Olympic lift while also being a marathon runner.