It should be a fairly safe walk. You'll run into your usual homeless people hanging around down there, but if you're going for an event, police presence will be increased and you shouldn't have any problems.
I've had family stay at Reverb and they had no problems. You're going to be right near GA Aquarium, Mercedes Benz Stadium and GA World Congress Center (Mega large convention space). Typically the area is going to heavily policed during events at night. I live about 10-15 mins away and like to get my German food fix at a restaurant not far from there.