I think you're right. Some of it will germinate, but when you mow it, it'll die.

I used cracked corn once that wasn't very well cracked. I had corn plants here and there.

One mow they might survive, two they absolutely don't. I just thought of it as green manure.

They're not invasive, not wide, and don't last long enough to do any damage.

Same experience with cracked corn. In the lawn, they just die with regular mowing. In other planting beds, it is much more annoying.