I would agree that it should be when the child is mentally and even physically ready. It will vary with each child. My son started in first grade just before he turned 7 years old. It was the first time we were aware of the activity for kids. He maybe could have started a year earlier but I think this was a good time for him.
One issue with kids this age in any sport is their attention span and whether they will be serious about participating. If they are not ready in this way they could be disruptive. The coaches could end up spending too much of their time baby-sitting and it will be taking time away from the other wrestlers. To be honest most of the young wrestlers I have seen have been attentive and not disruptive or they simply did not last thru the season.
Another issue I see is whether the club prepared to properly supervise them with the other wrestlers. Will it be a safe environment at practice for them and the older wrestlers. They will require a little more supervision and need to be watched so that they are not to close on the mat to the older and bigger wrestlers during live wrestling.