Yup, NO play. If there is, you've got a problem.
However, it IS possible to clean everything up, red Loctite everything, not just the nut threads, but all contacting surfaces, and it can hold.
Mine had some play, after I found it loose, and someone else here said I could do that... that were right. But, I need to pull the cover and check it again before this season of riding, just to make certain.