At least in my area, any and all sexual offences are not eligible for it. Not sure about any other crimes, hopefully violent offenses aren't eligible either. I'm not super familiar with the program, though. I know our local Goodwill will help people out with it, sometimes I'll see local news about their program. I think it's a good thing for people who have actually straightened out and have changed and just want to move on with their life.
If Luna used it, it'd be really dumb because I highly doubt she is going to change. I could be wrong, but she's so deep into it and is also addicted to stealing. Stealing is just as big of an addiction as drugs and can similarly wreck your life. It's similar to gambling I suppose, it gives you a natural rush. She's not stealing to get by, it's all shit she wants to hoard and brag about her "hauls" to redditors. I've been around people like this, it's a compulsion and they will literally steal shit they don't even want just to throw it away after. It's insane to see first hand and not many talk about it.