I have observed the same thing. So my cue to retrieve over the jump is "over." I think you already said that "over" is a problem cue for Noelle. For my dog, I'd add "take it" and then another "over" until he understands each piece is part of the whole "over" command. In CDSP we can give extra cues for a point penalty vs an NQ and eventually they can be faded when the dog's understanding is solidified.If I throw it wrong, Noelle will go around the jump, get the dumbbell, and jump over on the way back. There's a mismatch here for sure. My best bet is to set her up for success. But we will keep training weird throws. I like the idea of standing off center. That makes sense. I could start off center and toss it off center, then move to the middle while she's retrieving. That could help her understand what I want. Jump first, then get the dumbbell, then jump back.
I think it's better for my young boy to get some extra instruction in the ring in this venue and wait to do AKC until he's solid in his performance--particularly heeling! I have so much fun training the "tricks" exercises (dumbbell, gloves, articles, recalls, and drops) that I neglect the exercise that always loses me points. Bad handler!