Apparently Olivia's mother had this to say:
I don' t know about anyone else, but this whole post screams of an unhealthy co-dependency.
This is actually an abuse pattern, where the gymnast, and/or parents are led to believe that their goals won't be achieved without that coach. That they won't be as good without the coach. They need the coach. This makes everything dependent on the coach, the coach's word is law, and anything that goes wrong is the gymnasts fault....
Scarily I have also seen parents defend coaches like this. They are only tough because the gymnast isn't doing x,y,z. If the gymnast did a, b, c the coach wouldn't need to yell or ignore them.
I've seen one particular coach use a cycle of praise and ignoring to manipulate athletes. If they displease they are kicked out or sent to the far side of the gym to condition. If the coach is happy it's wonderful, fun, and that is what they strive to do. The exclusion makes the gymnasts more desperate for approval, and the approval when it comes makes everything seem ok again. There's no need for yelling, and the gymnasts and parents actually think coach is nice. Even coaches in the same gym don't figure it out. When they're excluded it's their fault, they did something to cause upset.
The olympics is 6 months out. Most of the prep will be done. Yes kids like the continuity and routine, but part of a coaches job is to teach them self sufficiency. If the gymnast cannot cope or perform without that coach, it's the coaches fault.