I have a problem taking anything from Mom's attorney at face value. It is possible to cherry-pick statements and reproduce them out of context to construct a picture completely out of kilter with reality. The kind of strategy provided the basis for charging that the Judge is biased--which they lost on appeal. Now, either the attorneys are not very good, or they gambled on getting an appeals judge who wasn't too bright, or the whole flurry of motions and filings is about something else altogether. My bet is on the latter. First off, the disqualification request, and appeal, were about buying some time because Dad has requested full custody based on Mom's unfitness. Dad's team seems to have a strategy and they have been edging forward on it for some time--although I don't know that Dad's mind was completely made up until the events in June.
Mom's current team didn't even get here until August, with the custody hearing scheduled for October. Now, while their tactic bought them time to build their case, they gave Dad an advantage by asking for a stay on all issues before the court--which effectively extended the protective separation from Mom--as well as allowing more time for the kids to acclimate to life with Dad. I think courts are generally reluctant to move kids all other things being equal, creating somsthing of a home team advantage--which Dad now has. So they have a huge stake in building a belief that things aren't going well at Daddy's. Probably doesn't help that Mom is likely unable to follow through on any reintegration requirements that might open the door to her having a chance to demonstrate new co-parenting skills.
So--they would appear to be throwing almost random laundry lists of grievances into svery piece of paper they file. They are using the gag order and seal to their advantage by referring to documents and "offers of proof" that may or may not support their wild claims. So how does this help? Well, they have to be well aware of the social media gang--willing to take anything and run with it (talking about stuff like unconstitutional torture and the like). Now, that's not going to move the judge, and there's no jury pool to be poisoned. But the kids live in a world where their teachers, friends and others can read about their supposedly abusive father. There have been intrusions--like that airplane banner, and threats made against various adults involved. Creates a lot of chaos--which cannot be helpful for growth and development.
When it comes to any claims coming from Mom's team. Sorry, her last shred of credibility was gone when she made the phony assault claim--and drug her kid along into it.