I can imagine GG's husband being good with the kids even though he has dropped the ball on other things. Being unreliable, not showing up on time - those are classic signs of the struggle with depression. But if he behaves himself well when he is with the kids - if he feeds them on time, if he plays with them, if he effectively manages conflicts between them, if he is attentive and loving - then it feels safe to me. Quite safe. More though, it may be very therapeutic for him.
For some parents in crisis or distress, often the times with the kids are stressful. For other parents, it is the time with the kids that calms, recharges, and energizes them. That is what I mean by therapeutic.
If he doesn't show up to work on time, that is not a good reason to prevent him from seeing the kids, or take that responsibility away from him.
